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Finding the Third Proportional to 412.31 and 663.19

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Solution

The third proportional to 412.31 and 663.19 is: 1,066.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.31 : 663.19 = 663.19 : x
  2. Step 2: Convert to fraction form
    412.31/663.19 = 663.19/x
  3. Step 3: Cross multiply
    412.31x = 663.19 × 663.19
  4. Step 4: Simplify right side
    412.31x = 439,817.66
  5. Step 5: Solve for x
    x = 439,817.66/412.31
  6. Step 6: Final answer
    x = 1,066.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.