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Finding the Third Proportional to 337,180 and 726,632

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Solution

The third proportional to 337,180 and 726,632 is: 1,565,911.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,180 : 726,632 = 726,632 : x
  2. Step 2: Convert to fraction form
    337,180/726,632 = 726,632/x
  3. Step 3: Cross multiply
    337,180x = 726,632 × 726,632
  4. Step 4: Simplify right side
    337,180x = 527,994,063,424
  5. Step 5: Solve for x
    x = 527,994,063,424/337,180
  6. Step 6: Final answer
    x = 1,565,911.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.