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Finding the Third Proportional to 364.22 and 793.27

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Solution

The third proportional to 364.22 and 793.27 is: 1,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.22 : 793.27 = 793.27 : x
  2. Step 2: Convert to fraction form
    364.22/793.27 = 793.27/x
  3. Step 3: Cross multiply
    364.22x = 793.27 × 793.27
  4. Step 4: Simplify right side
    364.22x = 629,270.35
  5. Step 5: Solve for x
    x = 629,270.35/364.22
  6. Step 6: Final answer
    x = 1,727.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.