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Finding the Third Proportional to 337,147.31 and 740,739.94

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Solution

The third proportional to 337,147.31 and 740,739.94 is: 1,627,465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,147.31 : 740,739.94 = 740,739.94 : x
  2. Step 2: Convert to fraction form
    337,147.31/740,739.94 = 740,739.94/x
  3. Step 3: Cross multiply
    337,147.31x = 740,739.94 × 740,739.94
  4. Step 4: Simplify right side
    337,147.31x = 548,695,655,007.50
  5. Step 5: Solve for x
    x = 548,695,655,007.50/337,147.31
  6. Step 6: Final answer
    x = 1,627,465.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.