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Finding the Third Proportional to 381,841 and 754,042

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Solution

The third proportional to 381,841 and 754,042 is: 1,489,047.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,841 : 754,042 = 754,042 : x
  2. Step 2: Convert to fraction form
    381,841/754,042 = 754,042/x
  3. Step 3: Cross multiply
    381,841x = 754,042 × 754,042
  4. Step 4: Simplify right side
    381,841x = 568,579,337,764
  5. Step 5: Solve for x
    x = 568,579,337,764/381,841
  6. Step 6: Final answer
    x = 1,489,047.37

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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.