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Finding the Third Proportional to 531.94 and 1,168.78

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Solution

The third proportional to 531.94 and 1,168.78 is: 2,568.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.94 : 1,168.78 = 1,168.78 : x
  2. Step 2: Convert to fraction form
    531.94/1,168.78 = 1,168.78/x
  3. Step 3: Cross multiply
    531.94x = 1,168.78 × 1,168.78
  4. Step 4: Simplify right side
    531.94x = 1,366,049.61
  5. Step 5: Solve for x
    x = 1,366,049.61/531.94
  6. Step 6: Final answer
    x = 2,568.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.