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Finding the Third Proportional to 787,289.25 and 1,180,728.75

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Solution

The third proportional to 787,289.25 and 1,180,728.75 is: 1,770,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,289.25 : 1,180,728.75 = 1,180,728.75 : x
  2. Step 2: Convert to fraction form
    787,289.25/1,180,728.75 = 1,180,728.75/x
  3. Step 3: Cross multiply
    787,289.25x = 1,180,728.75 × 1,180,728.75
  4. Step 4: Simplify right side
    787,289.25x = 1,394,120,381,076.56
  5. Step 5: Solve for x
    x = 1,394,120,381,076.56/787,289.25
  6. Step 6: Final answer
    x = 1,770,785.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.