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Finding the Third Proportional to 650,163 and 862,698

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Solution

The third proportional to 650,163 and 862,698 is: 1,144,709.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,163 : 862,698 = 862,698 : x
  2. Step 2: Convert to fraction form
    650,163/862,698 = 862,698/x
  3. Step 3: Cross multiply
    650,163x = 862,698 × 862,698
  4. Step 4: Simplify right side
    650,163x = 744,247,839,204
  5. Step 5: Solve for x
    x = 744,247,839,204/650,163
  6. Step 6: Final answer
    x = 1,144,709.62

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.