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Finding the Third Proportional to 207,956 and 289,744

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Solution

The third proportional to 207,956 and 289,744 is: 403,698.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,956 : 289,744 = 289,744 : x
  2. Step 2: Convert to fraction form
    207,956/289,744 = 289,744/x
  3. Step 3: Cross multiply
    207,956x = 289,744 × 289,744
  4. Step 4: Simplify right side
    207,956x = 83,951,585,536
  5. Step 5: Solve for x
    x = 83,951,585,536/207,956
  6. Step 6: Final answer
    x = 403,698.79

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.