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Finding the Third Proportional to 408,204 and 864,972

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Solution

The third proportional to 408,204 and 864,972 is: 1,832,849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,204 : 864,972 = 864,972 : x
  2. Step 2: Convert to fraction form
    408,204/864,972 = 864,972/x
  3. Step 3: Cross multiply
    408,204x = 864,972 × 864,972
  4. Step 4: Simplify right side
    408,204x = 748,176,560,784
  5. Step 5: Solve for x
    x = 748,176,560,784/408,204
  6. Step 6: Final answer
    x = 1,832,849.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.