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Finding the Third Proportional to 207,659 and 454,630

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Solution

The third proportional to 207,659 and 454,630 is: 995,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,659 : 454,630 = 454,630 : x
  2. Step 2: Convert to fraction form
    207,659/454,630 = 454,630/x
  3. Step 3: Cross multiply
    207,659x = 454,630 × 454,630
  4. Step 4: Simplify right side
    207,659x = 206,688,436,900
  5. Step 5: Solve for x
    x = 206,688,436,900/207,659
  6. Step 6: Final answer
    x = 995,326.17

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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.