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Finding the Third Proportional to 224,797.50 and 474,687

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Solution

The third proportional to 224,797.50 and 474,687 is: 1,002,358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,797.50 : 474,687 = 474,687 : x
  2. Step 2: Convert to fraction form
    224,797.50/474,687 = 474,687/x
  3. Step 3: Cross multiply
    224,797.50x = 474,687 × 474,687
  4. Step 4: Simplify right side
    224,797.50x = 225,327,747,969
  5. Step 5: Solve for x
    x = 225,327,747,969/224,797.50
  6. Step 6: Final answer
    x = 1,002,358.78

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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.