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Finding the Third Proportional to 250,496 and 517,552

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Solution

The third proportional to 250,496 and 517,552 is: 1,069,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,496 : 517,552 = 517,552 : x
  2. Step 2: Convert to fraction form
    250,496/517,552 = 517,552/x
  3. Step 3: Cross multiply
    250,496x = 517,552 × 517,552
  4. Step 4: Simplify right side
    250,496x = 267,860,072,704
  5. Step 5: Solve for x
    x = 267,860,072,704/250,496
  6. Step 6: Final answer
    x = 1,069,318.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.