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Finding the Third Proportional to 362.44 and 764.63

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Solution

The third proportional to 362.44 and 764.63 is: 1,613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.44 : 764.63 = 764.63 : x
  2. Step 2: Convert to fraction form
    362.44/764.63 = 764.63/x
  3. Step 3: Cross multiply
    362.44x = 764.63 × 764.63
  4. Step 4: Simplify right side
    362.44x = 584,651.39
  5. Step 5: Solve for x
    x = 584,651.39/362.44
  6. Step 6: Final answer
    x = 1,613.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.