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Finding the Third Proportional to 650,150 and 862,680

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Solution

The third proportional to 650,150 and 862,680 is: 1,144,684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,150 : 862,680 = 862,680 : x
  2. Step 2: Convert to fraction form
    650,150/862,680 = 862,680/x
  3. Step 3: Cross multiply
    650,150x = 862,680 × 862,680
  4. Step 4: Simplify right side
    650,150x = 744,216,782,400
  5. Step 5: Solve for x
    x = 744,216,782,400/650,150
  6. Step 6: Final answer
    x = 1,144,684.74

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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.