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Finding the Third Proportional to 337,539 and 738,132

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Solution

The third proportional to 337,539 and 738,132 is: 1,614,150.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,539 : 738,132 = 738,132 : x
  2. Step 2: Convert to fraction form
    337,539/738,132 = 738,132/x
  3. Step 3: Cross multiply
    337,539x = 738,132 × 738,132
  4. Step 4: Simplify right side
    337,539x = 544,838,849,424
  5. Step 5: Solve for x
    x = 544,838,849,424/337,539
  6. Step 6: Final answer
    x = 1,614,150.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.