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Finding the Third Proportional to 220,691 and 467,864

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Solution

The third proportional to 220,691 and 467,864 is: 991,869.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,691 : 467,864 = 467,864 : x
  2. Step 2: Convert to fraction form
    220,691/467,864 = 467,864/x
  3. Step 3: Cross multiply
    220,691x = 467,864 × 467,864
  4. Step 4: Simplify right side
    220,691x = 218,896,722,496
  5. Step 5: Solve for x
    x = 218,896,722,496/220,691
  6. Step 6: Final answer
    x = 991,869.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.