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Finding the Third Proportional to 362,404.13 and 736,836.75

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Solution

The third proportional to 362,404.13 and 736,836.75 is: 1,498,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,404.13 : 736,836.75 = 736,836.75 : x
  2. Step 2: Convert to fraction form
    362,404.13/736,836.75 = 736,836.75/x
  3. Step 3: Cross multiply
    362,404.13x = 736,836.75 × 736,836.75
  4. Step 4: Simplify right side
    362,404.13x = 542,928,396,150.56
  5. Step 5: Solve for x
    x = 542,928,396,150.56/362,404.13
  6. Step 6: Final answer
    x = 1,498,129.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.