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Finding the Third Proportional to 789.75 and 1,120.50

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Solution

The third proportional to 789.75 and 1,120.50 is: 1,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.75 : 1,120.50 = 1,120.50 : x
  2. Step 2: Convert to fraction form
    789.75/1,120.50 = 1,120.50/x
  3. Step 3: Cross multiply
    789.75x = 1,120.50 × 1,120.50
  4. Step 4: Simplify right side
    789.75x = 1,255,520.25
  5. Step 5: Solve for x
    x = 1,255,520.25/789.75
  6. Step 6: Final answer
    x = 1,589.77

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.