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Finding the Third Proportional to 337,728 and 731,676

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Solution

The third proportional to 337,728 and 731,676 is: 1,585,150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,728 : 731,676 = 731,676 : x
  2. Step 2: Convert to fraction form
    337,728/731,676 = 731,676/x
  3. Step 3: Cross multiply
    337,728x = 731,676 × 731,676
  4. Step 4: Simplify right side
    337,728x = 535,349,768,976
  5. Step 5: Solve for x
    x = 535,349,768,976/337,728
  6. Step 6: Final answer
    x = 1,585,150.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.