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Finding the Third Proportional to 793.78 and 1,130.72

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Solution

The third proportional to 793.78 and 1,130.72 is: 1,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.78 : 1,130.72 = 1,130.72 : x
  2. Step 2: Convert to fraction form
    793.78/1,130.72 = 1,130.72/x
  3. Step 3: Cross multiply
    793.78x = 1,130.72 × 1,130.72
  4. Step 4: Simplify right side
    793.78x = 1,278,524.89
  5. Step 5: Solve for x
    x = 1,278,524.89/793.78
  6. Step 6: Final answer
    x = 1,610.68

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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.