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Finding the Third Proportional to 614.14 and 919.79

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Solution

The third proportional to 614.14 and 919.79 is: 1,377.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.14 : 919.79 = 919.79 : x
  2. Step 2: Convert to fraction form
    614.14/919.79 = 919.79/x
  3. Step 3: Cross multiply
    614.14x = 919.79 × 919.79
  4. Step 4: Simplify right side
    614.14x = 846,019.11
  5. Step 5: Solve for x
    x = 846,019.11/614.14
  6. Step 6: Final answer
    x = 1,377.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.