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Finding the Third Proportional to 207,856 and 447,762

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Solution

The third proportional to 207,856 and 447,762 is: 964,565.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,856 : 447,762 = 447,762 : x
  2. Step 2: Convert to fraction form
    207,856/447,762 = 447,762/x
  3. Step 3: Cross multiply
    207,856x = 447,762 × 447,762
  4. Step 4: Simplify right side
    207,856x = 200,490,808,644
  5. Step 5: Solve for x
    x = 200,490,808,644/207,856
  6. Step 6: Final answer
    x = 964,565.89

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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.