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Finding the Third Proportional to 650,120.88 and 862,869.75

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Solution

The third proportional to 650,120.88 and 862,869.75 is: 1,145,239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,120.88 : 862,869.75 = 862,869.75 : x
  2. Step 2: Convert to fraction form
    650,120.88/862,869.75 = 862,869.75/x
  3. Step 3: Cross multiply
    650,120.88x = 862,869.75 × 862,869.75
  4. Step 4: Simplify right side
    650,120.88x = 744,544,205,465.06
  5. Step 5: Solve for x
    x = 744,544,205,465.06/650,120.88
  6. Step 6: Final answer
    x = 1,145,239.65

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