Finding the Third Proportional to 492.75 and 721.50
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Solution
The third proportional to 492.75 and 721.50 is: 1,056.44
Step by Step Solution
- Step 1: Write the proportion equation
492.75 : 721.50 = 721.50 : x - Step 2: Convert to fraction form
492.75/721.50 = 721.50/x - Step 3: Cross multiply
492.75x = 721.50 × 721.50 - Step 4: Simplify right side
492.75x = 520,562.25 - Step 5: Solve for x
x = 520,562.25/492.75 - Step 6: Final answer
x = 1,056.44
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.