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Finding the Third Proportional to 793.97 and 1,085.48

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Solution

The third proportional to 793.97 and 1,085.48 is: 1,484.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.97 : 1,085.48 = 1,085.48 : x
  2. Step 2: Convert to fraction form
    793.97/1,085.48 = 1,085.48/x
  3. Step 3: Cross multiply
    793.97x = 1,085.48 × 1,085.48
  4. Step 4: Simplify right side
    793.97x = 1,178,276.33
  5. Step 5: Solve for x
    x = 1,178,276.33/793.97
  6. Step 6: Final answer
    x = 1,484.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.