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Finding the Third Proportional to 337,576 and 720,350

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Solution

The third proportional to 337,576 and 720,350 is: 1,537,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,576 : 720,350 = 720,350 : x
  2. Step 2: Convert to fraction form
    337,576/720,350 = 720,350/x
  3. Step 3: Cross multiply
    337,576x = 720,350 × 720,350
  4. Step 4: Simplify right side
    337,576x = 518,904,122,500
  5. Step 5: Solve for x
    x = 518,904,122,500/337,576
  6. Step 6: Final answer
    x = 1,537,147.55

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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.