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Finding the Third Proportional to 691.03 and 919.27

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Solution

The third proportional to 691.03 and 919.27 is: 1,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.03 : 919.27 = 919.27 : x
  2. Step 2: Convert to fraction form
    691.03/919.27 = 919.27/x
  3. Step 3: Cross multiply
    691.03x = 919.27 × 919.27
  4. Step 4: Simplify right side
    691.03x = 845,049.29
  5. Step 5: Solve for x
    x = 845,049.29/691.03
  6. Step 6: Final answer
    x = 1,222.88

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.