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Finding the Third Proportional to 278,125.88 and 598,169.25

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Solution

The third proportional to 278,125.88 and 598,169.25 is: 1,286,491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,125.88 : 598,169.25 = 598,169.25 : x
  2. Step 2: Convert to fraction form
    278,125.88/598,169.25 = 598,169.25/x
  3. Step 3: Cross multiply
    278,125.88x = 598,169.25 × 598,169.25
  4. Step 4: Simplify right side
    278,125.88x = 357,806,451,645.56
  5. Step 5: Solve for x
    x = 357,806,451,645.56/278,125.88
  6. Step 6: Final answer
    x = 1,286,491.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.