Finding the Third Proportional to 542 and 611
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Solution
The third proportional to 542 and 611 is: 688.78
Step by Step Solution
- Step 1: Write the proportion equation
542 : 611 = 611 : x - Step 2: Convert to fraction form
542/611 = 611/x - Step 3: Cross multiply
542x = 611 × 611 - Step 4: Simplify right side
542x = 373,321 - Step 5: Solve for x
x = 373,321/542 - Step 6: Final answer
x = 688.78
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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.