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Finding the Third Proportional to 614.16 and 919.13

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Solution

The third proportional to 614.16 and 919.13 is: 1,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.16 : 919.13 = 919.13 : x
  2. Step 2: Convert to fraction form
    614.16/919.13 = 919.13/x
  3. Step 3: Cross multiply
    614.16x = 919.13 × 919.13
  4. Step 4: Simplify right side
    614.16x = 844,790.77
  5. Step 5: Solve for x
    x = 844,790.77/614.16
  6. Step 6: Final answer
    x = 1,375.53

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Why These Related Problems?

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