Finding the Third Proportional to 542 and 591
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Solution
The third proportional to 542 and 591 is: 644.43
Step by Step Solution
- Step 1: Write the proportion equation
542 : 591 = 591 : x - Step 2: Convert to fraction form
542/591 = 591/x - Step 3: Cross multiply
542x = 591 × 591 - Step 4: Simplify right side
542x = 349,281 - Step 5: Solve for x
x = 349,281/542 - Step 6: Final answer
x = 644.43
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.