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Finding the Third Proportional to 259,524 and 557,847

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Solution

The third proportional to 259,524 and 557,847 is: 1,199,092.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,524 : 557,847 = 557,847 : x
  2. Step 2: Convert to fraction form
    259,524/557,847 = 557,847/x
  3. Step 3: Cross multiply
    259,524x = 557,847 × 557,847
  4. Step 4: Simplify right side
    259,524x = 311,193,275,409
  5. Step 5: Solve for x
    x = 311,193,275,409/259,524
  6. Step 6: Final answer
    x = 1,199,092.47

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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.