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Finding the Third Proportional to 337,319 and 730,689

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Solution

The third proportional to 337,319 and 730,689 is: 1,582,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,319 : 730,689 = 730,689 : x
  2. Step 2: Convert to fraction form
    337,319/730,689 = 730,689/x
  3. Step 3: Cross multiply
    337,319x = 730,689 × 730,689
  4. Step 4: Simplify right side
    337,319x = 533,906,414,721
  5. Step 5: Solve for x
    x = 533,906,414,721/337,319
  6. Step 6: Final answer
    x = 1,582,793.78

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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.