Finding the Third Proportional to 494 and 532
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Solution
The third proportional to 494 and 532 is: 572.92
Step by Step Solution
- Step 1: Write the proportion equation
494 : 532 = 532 : x - Step 2: Convert to fraction form
494/532 = 532/x - Step 3: Cross multiply
494x = 532 × 532 - Step 4: Simplify right side
494x = 283,024 - Step 5: Solve for x
x = 283,024/494 - Step 6: Final answer
x = 572.92
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.