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Finding the Third Proportional to 367.88 and 591.38

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Solution

The third proportional to 367.88 and 591.38 is: 950.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.88 : 591.38 = 591.38 : x
  2. Step 2: Convert to fraction form
    367.88/591.38 = 591.38/x
  3. Step 3: Cross multiply
    367.88x = 591.38 × 591.38
  4. Step 4: Simplify right side
    367.88x = 349,724.39
  5. Step 5: Solve for x
    x = 349,724.39/367.88
  6. Step 6: Final answer
    x = 950.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.