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Finding the Third Proportional to 381,177 and 811,656

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Solution

The third proportional to 381,177 and 811,656 is: 1,728,292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,177 : 811,656 = 811,656 : x
  2. Step 2: Convert to fraction form
    381,177/811,656 = 811,656/x
  3. Step 3: Cross multiply
    381,177x = 811,656 × 811,656
  4. Step 4: Simplify right side
    381,177x = 658,785,462,336
  5. Step 5: Solve for x
    x = 658,785,462,336/381,177
  6. Step 6: Final answer
    x = 1,728,292.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.