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Finding the Third Proportional to 224,743 and 481,469

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Solution

The third proportional to 224,743 and 481,469 is: 1,031,455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,743 : 481,469 = 481,469 : x
  2. Step 2: Convert to fraction form
    224,743/481,469 = 481,469/x
  3. Step 3: Cross multiply
    224,743x = 481,469 × 481,469
  4. Step 4: Simplify right side
    224,743x = 231,812,397,961
  5. Step 5: Solve for x
    x = 231,812,397,961/224,743
  6. Step 6: Final answer
    x = 1,031,455.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.