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Finding the Third Proportional to 259,474 and 558,962

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Solution

The third proportional to 259,474 and 558,962 is: 1,204,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,474 : 558,962 = 558,962 : x
  2. Step 2: Convert to fraction form
    259,474/558,962 = 558,962/x
  3. Step 3: Cross multiply
    259,474x = 558,962 × 558,962
  4. Step 4: Simplify right side
    259,474x = 312,438,517,444
  5. Step 5: Solve for x
    x = 312,438,517,444/259,474
  6. Step 6: Final answer
    x = 1,204,122.64

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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.