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Finding the Third Proportional to 363.06 and 513.94

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Solution

The third proportional to 363.06 and 513.94 is: 727.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.06 : 513.94 = 513.94 : x
  2. Step 2: Convert to fraction form
    363.06/513.94 = 513.94/x
  3. Step 3: Cross multiply
    363.06x = 513.94 × 513.94
  4. Step 4: Simplify right side
    363.06x = 264,131.75
  5. Step 5: Solve for x
    x = 264,131.75/363.06
  6. Step 6: Final answer
    x = 727.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.