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Finding the Third Proportional to 793.69 and 1,128.38

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Solution

The third proportional to 793.69 and 1,128.38 is: 1,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.69 : 1,128.38 = 1,128.38 : x
  2. Step 2: Convert to fraction form
    793.69/1,128.38 = 1,128.38/x
  3. Step 3: Cross multiply
    793.69x = 1,128.38 × 1,128.38
  4. Step 4: Simplify right side
    793.69x = 1,273,230.14
  5. Step 5: Solve for x
    x = 1,273,230.14/793.69
  6. Step 6: Final answer
    x = 1,604.20

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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.