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Finding the Third Proportional to 609.13 and 913.38

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Solution

The third proportional to 609.13 and 913.38 is: 1,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.13 : 913.38 = 913.38 : x
  2. Step 2: Convert to fraction form
    609.13/913.38 = 913.38/x
  3. Step 3: Cross multiply
    609.13x = 913.38 × 913.38
  4. Step 4: Simplify right side
    609.13x = 834,253.89
  5. Step 5: Solve for x
    x = 834,253.89/609.13
  6. Step 6: Final answer
    x = 1,369.59

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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.