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Finding the Third Proportional to 207,654 and 454,620

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Solution

The third proportional to 207,654 and 454,620 is: 995,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,654 : 454,620 = 454,620 : x
  2. Step 2: Convert to fraction form
    207,654/454,620 = 454,620/x
  3. Step 3: Cross multiply
    207,654x = 454,620 × 454,620
  4. Step 4: Simplify right side
    207,654x = 206,679,344,400
  5. Step 5: Solve for x
    x = 206,679,344,400/207,654
  6. Step 6: Final answer
    x = 995,306.35

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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.