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Finding the Third Proportional to 548.72 and 1,314.42

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Solution

The third proportional to 548.72 and 1,314.42 is: 3,148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.72 : 1,314.42 = 1,314.42 : x
  2. Step 2: Convert to fraction form
    548.72/1,314.42 = 1,314.42/x
  3. Step 3: Cross multiply
    548.72x = 1,314.42 × 1,314.42
  4. Step 4: Simplify right side
    548.72x = 1,727,704.87
  5. Step 5: Solve for x
    x = 1,727,704.87/548.72
  6. Step 6: Final answer
    x = 3,148.62

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.