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Finding the Third Proportional to 259,382.25 and 558,778.50

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Solution

The third proportional to 259,382.25 and 558,778.50 is: 1,203,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,382.25 : 558,778.50 = 558,778.50 : x
  2. Step 2: Convert to fraction form
    259,382.25/558,778.50 = 558,778.50/x
  3. Step 3: Cross multiply
    259,382.25x = 558,778.50 × 558,778.50
  4. Step 4: Simplify right side
    259,382.25x = 312,233,412,062.25
  5. Step 5: Solve for x
    x = 312,233,412,062.25/259,382.25
  6. Step 6: Final answer
    x = 1,203,757.82

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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.