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Finding the Third Proportional to 367.94 and 804.22

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Solution

The third proportional to 367.94 and 804.22 is: 1,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.94 : 804.22 = 804.22 : x
  2. Step 2: Convert to fraction form
    367.94/804.22 = 804.22/x
  3. Step 3: Cross multiply
    367.94x = 804.22 × 804.22
  4. Step 4: Simplify right side
    367.94x = 646,767.80
  5. Step 5: Solve for x
    x = 646,767.80/367.94
  6. Step 6: Final answer
    x = 1,757.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.