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Finding the Third Proportional to 379,171.13 and 814,110.75

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Solution

The third proportional to 379,171.13 and 814,110.75 is: 1,747,960.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,171.13 : 814,110.75 = 814,110.75 : x
  2. Step 2: Convert to fraction form
    379,171.13/814,110.75 = 814,110.75/x
  3. Step 3: Cross multiply
    379,171.13x = 814,110.75 × 814,110.75
  4. Step 4: Simplify right side
    379,171.13x = 662,776,313,265.56
  5. Step 5: Solve for x
    x = 662,776,313,265.56/379,171.13
  6. Step 6: Final answer
    x = 1,747,960.93

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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.