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Finding the Third Proportional to 259,040,650 and 422,945,289

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Solution

The third proportional to 259,040,650 and 422,945,289 is: 690,558,479.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,040,650 : 422,945,289 = 422,945,289 : x
  2. Step 2: Convert to fraction form
    259,040,650/422,945,289 = 422,945,289/x
  3. Step 3: Cross multiply
    259,040,650x = 422,945,289 × 422,945,289
  4. Step 4: Simplify right side
    259,040,650x = 178,882,717,487,293,536
  5. Step 5: Solve for x
    x = 178,882,717,487,293,536/259,040,650
  6. Step 6: Final answer
    x = 690,558,479.87

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.