Finding the Third Proportional to 542 and 614
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Solution
The third proportional to 542 and 614 is: 695.56
Step by Step Solution
- Step 1: Write the proportion equation
542 : 614 = 614 : x - Step 2: Convert to fraction form
542/614 = 614/x - Step 3: Cross multiply
542x = 614 × 614 - Step 4: Simplify right side
542x = 376,996 - Step 5: Solve for x
x = 376,996/542 - Step 6: Final answer
x = 695.56
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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.