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Finding the Third Proportional to 337,542 and 720,279

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Solution

The third proportional to 337,542 and 720,279 is: 1,536,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,542 : 720,279 = 720,279 : x
  2. Step 2: Convert to fraction form
    337,542/720,279 = 720,279/x
  3. Step 3: Cross multiply
    337,542x = 720,279 × 720,279
  4. Step 4: Simplify right side
    337,542x = 518,801,837,841
  5. Step 5: Solve for x
    x = 518,801,837,841/337,542
  6. Step 6: Final answer
    x = 1,536,999.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.