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Finding the Third Proportional to 224,854 and 478,839

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Solution

The third proportional to 224,854 and 478,839 is: 1,019,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,854 : 478,839 = 478,839 : x
  2. Step 2: Convert to fraction form
    224,854/478,839 = 478,839/x
  3. Step 3: Cross multiply
    224,854x = 478,839 × 478,839
  4. Step 4: Simplify right side
    224,854x = 229,286,787,921
  5. Step 5: Solve for x
    x = 229,286,787,921/224,854
  6. Step 6: Final answer
    x = 1,019,714.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.