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Finding the Third Proportional to 363.34 and 794.29

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Solution

The third proportional to 363.34 and 794.29 is: 1,736.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.34 : 794.29 = 794.29 : x
  2. Step 2: Convert to fraction form
    363.34/794.29 = 794.29/x
  3. Step 3: Cross multiply
    363.34x = 794.29 × 794.29
  4. Step 4: Simplify right side
    363.34x = 630,888.91
  5. Step 5: Solve for x
    x = 630,888.91/363.34
  6. Step 6: Final answer
    x = 1,736.36

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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.