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Finding the Third Proportional to 426,846 and 639,150

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Solution

The third proportional to 426,846 and 639,150 is: 957,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,846 : 639,150 = 639,150 : x
  2. Step 2: Convert to fraction form
    426,846/639,150 = 639,150/x
  3. Step 3: Cross multiply
    426,846x = 639,150 × 639,150
  4. Step 4: Simplify right side
    426,846x = 408,512,722,500
  5. Step 5: Solve for x
    x = 408,512,722,500/426,846
  6. Step 6: Final answer
    x = 957,049.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.