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Finding the Third Proportional to 562.13 and 655.88

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Solution

The third proportional to 562.13 and 655.88 is: 765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.13 : 655.88 = 655.88 : x
  2. Step 2: Convert to fraction form
    562.13/655.88 = 655.88/x
  3. Step 3: Cross multiply
    562.13x = 655.88 × 655.88
  4. Step 4: Simplify right side
    562.13x = 430,172.02
  5. Step 5: Solve for x
    x = 430,172.02/562.13
  6. Step 6: Final answer
    x = 765.26

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.