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Finding the Third Proportional to 381,857 and 754,057

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Solution

The third proportional to 381,857 and 754,057 is: 1,489,044.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,857 : 754,057 = 754,057 : x
  2. Step 2: Convert to fraction form
    381,857/754,057 = 754,057/x
  3. Step 3: Cross multiply
    381,857x = 754,057 × 754,057
  4. Step 4: Simplify right side
    381,857x = 568,601,959,249
  5. Step 5: Solve for x
    x = 568,601,959,249/381,857
  6. Step 6: Final answer
    x = 1,489,044.22

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.