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Finding the Third Proportional to 769.88 and 1,131.19

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Solution

The third proportional to 769.88 and 1,131.19 is: 1,662.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.88 : 1,131.19 = 1,131.19 : x
  2. Step 2: Convert to fraction form
    769.88/1,131.19 = 1,131.19/x
  3. Step 3: Cross multiply
    769.88x = 1,131.19 × 1,131.19
  4. Step 4: Simplify right side
    769.88x = 1,279,585.16
  5. Step 5: Solve for x
    x = 1,279,585.16/769.88
  6. Step 6: Final answer
    x = 1,662.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.