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Finding the Third Proportional to 367.13 and 795.56

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Solution

The third proportional to 367.13 and 795.56 is: 1,723.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.13 : 795.56 = 795.56 : x
  2. Step 2: Convert to fraction form
    367.13/795.56 = 795.56/x
  3. Step 3: Cross multiply
    367.13x = 795.56 × 795.56
  4. Step 4: Simplify right side
    367.13x = 632,919.69
  5. Step 5: Solve for x
    x = 632,919.69/367.13
  6. Step 6: Final answer
    x = 1,723.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.