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Finding the Third Proportional to 301.22 and 593.86

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Solution

The third proportional to 301.22 and 593.86 is: 1,170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.22 : 593.86 = 593.86 : x
  2. Step 2: Convert to fraction form
    301.22/593.86 = 593.86/x
  3. Step 3: Cross multiply
    301.22x = 593.86 × 593.86
  4. Step 4: Simplify right side
    301.22x = 352,668.96
  5. Step 5: Solve for x
    x = 352,668.96/301.22
  6. Step 6: Final answer
    x = 1,170.81

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.