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Finding the Third Proportional to 207,871 and 447,767

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Solution

The third proportional to 207,871 and 447,767 is: 964,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,871 : 447,767 = 447,767 : x
  2. Step 2: Convert to fraction form
    207,871/447,767 = 447,767/x
  3. Step 3: Cross multiply
    207,871x = 447,767 × 447,767
  4. Step 4: Simplify right side
    207,871x = 200,495,286,289
  5. Step 5: Solve for x
    x = 200,495,286,289/207,871
  6. Step 6: Final answer
    x = 964,517.83

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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.