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Finding the Third Proportional to 788.80 and 1,255.82

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Solution

The third proportional to 788.80 and 1,255.82 is: 1,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.80 : 1,255.82 = 1,255.82 : x
  2. Step 2: Convert to fraction form
    788.80/1,255.82 = 1,255.82/x
  3. Step 3: Cross multiply
    788.80x = 1,255.82 × 1,255.82
  4. Step 4: Simplify right side
    788.80x = 1,577,074.85
  5. Step 5: Solve for x
    x = 1,577,074.85/788.80
  6. Step 6: Final answer
    x = 1,999.33

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.