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Finding the Third Proportional to 542.32 and 655.17

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Solution

The third proportional to 542.32 and 655.17 is: 791.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.32 : 655.17 = 655.17 : x
  2. Step 2: Convert to fraction form
    542.32/655.17 = 655.17/x
  3. Step 3: Cross multiply
    542.32x = 655.17 × 655.17
  4. Step 4: Simplify right side
    542.32x = 429,250.19
  5. Step 5: Solve for x
    x = 429,250.19/542.32
  6. Step 6: Final answer
    x = 791.51

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.