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Finding the Third Proportional to 224,800 and 474,691

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Solution

The third proportional to 224,800 and 474,691 is: 1,002,364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,800 : 474,691 = 474,691 : x
  2. Step 2: Convert to fraction form
    224,800/474,691 = 474,691/x
  3. Step 3: Cross multiply
    224,800x = 474,691 × 474,691
  4. Step 4: Simplify right side
    224,800x = 225,331,545,481
  5. Step 5: Solve for x
    x = 225,331,545,481/224,800
  6. Step 6: Final answer
    x = 1,002,364.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.