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Finding the Third Proportional to 463.13 and 649.13

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Solution

The third proportional to 463.13 and 649.13 is: 909.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.13 : 649.13 = 649.13 : x
  2. Step 2: Convert to fraction form
    463.13/649.13 = 649.13/x
  3. Step 3: Cross multiply
    463.13x = 649.13 × 649.13
  4. Step 4: Simplify right side
    463.13x = 421,363.27
  5. Step 5: Solve for x
    x = 421,363.27/463.13
  6. Step 6: Final answer
    x = 909.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.