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Finding the Third Proportional to 348,687 and 736,542

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Solution

The third proportional to 348,687 and 736,542 is: 1,555,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,687 : 736,542 = 736,542 : x
  2. Step 2: Convert to fraction form
    348,687/736,542 = 736,542/x
  3. Step 3: Cross multiply
    348,687x = 736,542 × 736,542
  4. Step 4: Simplify right side
    348,687x = 542,494,117,764
  5. Step 5: Solve for x
    x = 542,494,117,764/348,687
  6. Step 6: Final answer
    x = 1,555,819.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.