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Finding the Third Proportional to 207,672 and 454,656

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Solution

The third proportional to 207,672 and 454,656 is: 995,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,672 : 454,656 = 454,656 : x
  2. Step 2: Convert to fraction form
    207,672/454,656 = 454,656/x
  3. Step 3: Cross multiply
    207,672x = 454,656 × 454,656
  4. Step 4: Simplify right side
    207,672x = 206,712,078,336
  5. Step 5: Solve for x
    x = 206,712,078,336/207,672
  6. Step 6: Final answer
    x = 995,377.70

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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.