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Finding the Third Proportional to 224,976 and 489,317

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Solution

The third proportional to 224,976 and 489,317 is: 1,064,251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,976 : 489,317 = 489,317 : x
  2. Step 2: Convert to fraction form
    224,976/489,317 = 489,317/x
  3. Step 3: Cross multiply
    224,976x = 489,317 × 489,317
  4. Step 4: Simplify right side
    224,976x = 239,431,126,489
  5. Step 5: Solve for x
    x = 239,431,126,489/224,976
  6. Step 6: Final answer
    x = 1,064,251.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.