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Finding the Third Proportional to 363.06 and 794.13

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Solution

The third proportional to 363.06 and 794.13 is: 1,736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.06 : 794.13 = 794.13 : x
  2. Step 2: Convert to fraction form
    363.06/794.13 = 794.13/x
  3. Step 3: Cross multiply
    363.06x = 794.13 × 794.13
  4. Step 4: Simplify right side
    363.06x = 630,634.52
  5. Step 5: Solve for x
    x = 630,634.52/363.06
  6. Step 6: Final answer
    x = 1,736.99

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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.