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Finding the Third Proportional to 224,727 and 481,439

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Solution

The third proportional to 224,727 and 481,439 is: 1,031,400.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,727 : 481,439 = 481,439 : x
  2. Step 2: Convert to fraction form
    224,727/481,439 = 481,439/x
  3. Step 3: Cross multiply
    224,727x = 481,439 × 481,439
  4. Step 4: Simplify right side
    224,727x = 231,783,510,721
  5. Step 5: Solve for x
    x = 231,783,510,721/224,727
  6. Step 6: Final answer
    x = 1,031,400.37

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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.