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Finding the Third Proportional to 493.38 and 794.75

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Solution

The third proportional to 493.38 and 794.75 is: 1,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.38 : 794.75 = 794.75 : x
  2. Step 2: Convert to fraction form
    493.38/794.75 = 794.75/x
  3. Step 3: Cross multiply
    493.38x = 794.75 × 794.75
  4. Step 4: Simplify right side
    493.38x = 631,627.56
  5. Step 5: Solve for x
    x = 631,627.56/493.38
  6. Step 6: Final answer
    x = 1,280.22

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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.