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Finding the Third Proportional to 259,923 and 558,524

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Solution

The third proportional to 259,923 and 558,524 is: 1,200,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,923 : 558,524 = 558,524 : x
  2. Step 2: Convert to fraction form
    259,923/558,524 = 558,524/x
  3. Step 3: Cross multiply
    259,923x = 558,524 × 558,524
  4. Step 4: Simplify right side
    259,923x = 311,949,058,576
  5. Step 5: Solve for x
    x = 311,949,058,576/259,923
  6. Step 6: Final answer
    x = 1,200,159.50

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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.