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Finding the Third Proportional to 224,844 and 520,542

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Solution

The third proportional to 224,844 and 520,542 is: 1,205,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,844 : 520,542 = 520,542 : x
  2. Step 2: Convert to fraction form
    224,844/520,542 = 520,542/x
  3. Step 3: Cross multiply
    224,844x = 520,542 × 520,542
  4. Step 4: Simplify right side
    224,844x = 270,963,973,764
  5. Step 5: Solve for x
    x = 270,963,973,764/224,844
  6. Step 6: Final answer
    x = 1,205,119.88

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.