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Finding the Third Proportional to 463.13 and 562.13

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Solution

The third proportional to 463.13 and 562.13 is: 682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.13 : 562.13 = 562.13 : x
  2. Step 2: Convert to fraction form
    463.13/562.13 = 562.13/x
  3. Step 3: Cross multiply
    463.13x = 562.13 × 562.13
  4. Step 4: Simplify right side
    463.13x = 315,984.52
  5. Step 5: Solve for x
    x = 315,984.52/463.13
  6. Step 6: Final answer
    x = 682.29

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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.