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Finding the Third Proportional to 337,732 and 731,684

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Solution

The third proportional to 337,732 and 731,684 is: 1,585,166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,732 : 731,684 = 731,684 : x
  2. Step 2: Convert to fraction form
    337,732/731,684 = 731,684/x
  3. Step 3: Cross multiply
    337,732x = 731,684 × 731,684
  4. Step 4: Simplify right side
    337,732x = 535,361,475,856
  5. Step 5: Solve for x
    x = 535,361,475,856/337,732
  6. Step 6: Final answer
    x = 1,585,166.57

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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.