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Finding the Third Proportional to 207,474 and 422,552

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Solution

The third proportional to 207,474 and 422,552 is: 860,590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,474 : 422,552 = 422,552 : x
  2. Step 2: Convert to fraction form
    207,474/422,552 = 422,552/x
  3. Step 3: Cross multiply
    207,474x = 422,552 × 422,552
  4. Step 4: Simplify right side
    207,474x = 178,550,192,704
  5. Step 5: Solve for x
    x = 178,550,192,704/207,474
  6. Step 6: Final answer
    x = 860,590.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.