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Finding the Third Proportional to 541,934 and 762,488

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Solution

The third proportional to 541,934 and 762,488 is: 1,072,802.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,934 : 762,488 = 762,488 : x
  2. Step 2: Convert to fraction form
    541,934/762,488 = 762,488/x
  3. Step 3: Cross multiply
    541,934x = 762,488 × 762,488
  4. Step 4: Simplify right side
    541,934x = 581,387,950,144
  5. Step 5: Solve for x
    x = 581,387,950,144/541,934
  6. Step 6: Final answer
    x = 1,072,802.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.