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Finding the Third Proportional to 207,657 and 454,626

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Solution

The third proportional to 207,657 and 454,626 is: 995,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,657 : 454,626 = 454,626 : x
  2. Step 2: Convert to fraction form
    207,657/454,626 = 454,626/x
  3. Step 3: Cross multiply
    207,657x = 454,626 × 454,626
  4. Step 4: Simplify right side
    207,657x = 206,684,799,876
  5. Step 5: Solve for x
    x = 206,684,799,876/207,657
  6. Step 6: Final answer
    x = 995,318.24

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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.