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Finding the Third Proportional to 376,377 and 814,098

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Solution

The third proportional to 376,377 and 814,098 is: 1,760,882.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,377 : 814,098 = 814,098 : x
  2. Step 2: Convert to fraction form
    376,377/814,098 = 814,098/x
  3. Step 3: Cross multiply
    376,377x = 814,098 × 814,098
  4. Step 4: Simplify right side
    376,377x = 662,755,553,604
  5. Step 5: Solve for x
    x = 662,755,553,604/376,377
  6. Step 6: Final answer
    x = 1,760,882.18

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Why These Related Problems?

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