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Finding the Third Proportional to 363.19 and 485.72

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Solution

The third proportional to 363.19 and 485.72 is: 649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.19 : 485.72 = 485.72 : x
  2. Step 2: Convert to fraction form
    363.19/485.72 = 485.72/x
  3. Step 3: Cross multiply
    363.19x = 485.72 × 485.72
  4. Step 4: Simplify right side
    363.19x = 235,922.70
  5. Step 5: Solve for x
    x = 235,922.70/363.19
  6. Step 6: Final answer
    x = 649.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.