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Finding the Third Proportional to 207,867 and 447,759

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Solution

The third proportional to 207,867 and 447,759 is: 964,501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,867 : 447,759 = 447,759 : x
  2. Step 2: Convert to fraction form
    207,867/447,759 = 447,759/x
  3. Step 3: Cross multiply
    207,867x = 447,759 × 447,759
  4. Step 4: Simplify right side
    207,867x = 200,488,122,081
  5. Step 5: Solve for x
    x = 200,488,122,081/207,867
  6. Step 6: Final answer
    x = 964,501.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.