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Finding the Third Proportional to 337,931 and 725,782

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Solution

The third proportional to 337,931 and 725,782 is: 1,558,778.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,931 : 725,782 = 725,782 : x
  2. Step 2: Convert to fraction form
    337,931/725,782 = 725,782/x
  3. Step 3: Cross multiply
    337,931x = 725,782 × 725,782
  4. Step 4: Simplify right side
    337,931x = 526,759,511,524
  5. Step 5: Solve for x
    x = 526,759,511,524/337,931
  6. Step 6: Final answer
    x = 1,558,778.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.