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Finding the Third Proportional to 663.31 and 1,446.44

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Solution

The third proportional to 663.31 and 1,446.44 is: 3,154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.31 : 1,446.44 = 1,446.44 : x
  2. Step 2: Convert to fraction form
    663.31/1,446.44 = 1,446.44/x
  3. Step 3: Cross multiply
    663.31x = 1,446.44 × 1,446.44
  4. Step 4: Simplify right side
    663.31x = 2,092,181.44
  5. Step 5: Solve for x
    x = 2,092,181.44/663.31
  6. Step 6: Final answer
    x = 3,154.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.