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Finding the Third Proportional to 207,750 and 454,812

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Solution

The third proportional to 207,750 and 454,812 is: 995,686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,750 : 454,812 = 454,812 : x
  2. Step 2: Convert to fraction form
    207,750/454,812 = 454,812/x
  3. Step 3: Cross multiply
    207,750x = 454,812 × 454,812
  4. Step 4: Simplify right side
    207,750x = 206,853,955,344
  5. Step 5: Solve for x
    x = 206,853,955,344/207,750
  6. Step 6: Final answer
    x = 995,686.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.