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Finding the Third Proportional to 206,976 and 447,172

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Solution

The third proportional to 206,976 and 447,172 is: 966,115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,976 : 447,172 = 447,172 : x
  2. Step 2: Convert to fraction form
    206,976/447,172 = 447,172/x
  3. Step 3: Cross multiply
    206,976x = 447,172 × 447,172
  4. Step 4: Simplify right side
    206,976x = 199,962,797,584
  5. Step 5: Solve for x
    x = 199,962,797,584/206,976
  6. Step 6: Final answer
    x = 966,115.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.