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Finding the Third Proportional to 639,231.75 and 1,065,258.75

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Solution

The third proportional to 639,231.75 and 1,065,258.75 is: 1,775,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,231.75 : 1,065,258.75 = 1,065,258.75 : x
  2. Step 2: Convert to fraction form
    639,231.75/1,065,258.75 = 1,065,258.75/x
  3. Step 3: Cross multiply
    639,231.75x = 1,065,258.75 × 1,065,258.75
  4. Step 4: Simplify right side
    639,231.75x = 1,134,776,204,451.56
  5. Step 5: Solve for x
    x = 1,134,776,204,451.56/639,231.75
  6. Step 6: Final answer
    x = 1,775,218.78

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.