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Finding the Third Proportional to 260,780.88 and 558,988.75

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Solution

The third proportional to 260,780.88 and 558,988.75 is: 1,198,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,780.88 : 558,988.75 = 558,988.75 : x
  2. Step 2: Convert to fraction form
    260,780.88/558,988.75 = 558,988.75/x
  3. Step 3: Cross multiply
    260,780.88x = 558,988.75 × 558,988.75
  4. Step 4: Simplify right side
    260,780.88x = 312,468,422,626.56
  5. Step 5: Solve for x
    x = 312,468,422,626.56/260,780.88
  6. Step 6: Final answer
    x = 1,198,202.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.