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Finding the Third Proportional to 412,934 and 555,734

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Solution

The third proportional to 412,934 and 555,734 is: 747,916.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,934 : 555,734 = 555,734 : x
  2. Step 2: Convert to fraction form
    412,934/555,734 = 555,734/x
  3. Step 3: Cross multiply
    412,934x = 555,734 × 555,734
  4. Step 4: Simplify right side
    412,934x = 308,840,278,756
  5. Step 5: Solve for x
    x = 308,840,278,756/412,934
  6. Step 6: Final answer
    x = 747,916.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.