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Finding the Third Proportional to 259,474.50 and 557,757

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Solution

The third proportional to 259,474.50 and 557,757 is: 1,198,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,474.50 : 557,757 = 557,757 : x
  2. Step 2: Convert to fraction form
    259,474.50/557,757 = 557,757/x
  3. Step 3: Cross multiply
    259,474.50x = 557,757 × 557,757
  4. Step 4: Simplify right side
    259,474.50x = 311,092,871,049
  5. Step 5: Solve for x
    x = 311,092,871,049/259,474.50
  6. Step 6: Final answer
    x = 1,198,934.27

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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.