Short Answer 
The conversion involves three main steps: setting up conversion factors, converting flurg to meters, and then to meters per second squared. Starting with 7.29 flurg/grom², it is transformed to 1.391 m/grom², which is then converted to 5.72 m/s² after applying the necessary time conversion.
Step 1: Set Up the Conversion Factors
Begin by identifying the given units and the corresponding conversion factors. In this case, you have two conversion units: 5.24 flurg/m and 0.493 s/grom. Determine how many of these units are present in each. This will ensure you can manipulate them easily to facilitate conversion. Create expressions that make the denominators equal to 1 to streamline calculations.
Step 2: Convert flurg to meters
To eliminate the flurg unit, start with the expression 7.29 flurg/grom² and perform the division by 5.24 flurg/m. The mathematical operation here is set to cancel out the flurg units, transforming the expression to 1.391 m/grom². This step simplifies the conversion to a more manageable format for further calculations.
Step 3: Convert to m/s²
Next, you’ll need to convert from m/grom¬≤ to m/s¬≤ by incorporating the time conversion factor. Divide the previous result 1.391 m/grom¬≤ by 0.493 s/grom, enabling you to cancel out the grom unit. This results in 2.82 m/(grom s). Lastly, perform one more division with 0.493 s/grom to eliminate all grom terms. The final result is 5.72 m/s¬≤, rounded to three significant figures.