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Finding the Third Proportional to 769.75 and 1,090.38

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Solution

The third proportional to 769.75 and 1,090.38 is: 1,544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.75 : 1,090.38 = 1,090.38 : x
  2. Step 2: Convert to fraction form
    769.75/1,090.38 = 1,090.38/x
  3. Step 3: Cross multiply
    769.75x = 1,090.38 × 1,090.38
  4. Step 4: Simplify right side
    769.75x = 1,188,917.64
  5. Step 5: Solve for x
    x = 1,188,917.64/769.75
  6. Step 6: Final answer
    x = 1,544.55

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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.