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Finding the Third Proportional to 587,958.75 and 1,288,023.75

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Solution

The third proportional to 587,958.75 and 1,288,023.75 is: 2,821,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,958.75 : 1,288,023.75 = 1,288,023.75 : x
  2. Step 2: Convert to fraction form
    587,958.75/1,288,023.75 = 1,288,023.75/x
  3. Step 3: Cross multiply
    587,958.75x = 1,288,023.75 × 1,288,023.75
  4. Step 4: Simplify right side
    587,958.75x = 1,659,005,180,564.06
  5. Step 5: Solve for x
    x = 1,659,005,180,564.06/587,958.75
  6. Step 6: Final answer
    x = 2,821,635.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.