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Finding the Third Proportional to 663.94 and 1,444.31

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Solution

The third proportional to 663.94 and 1,444.31 is: 3,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.94 : 1,444.31 = 1,444.31 : x
  2. Step 2: Convert to fraction form
    663.94/1,444.31 = 1,444.31/x
  3. Step 3: Cross multiply
    663.94x = 1,444.31 × 1,444.31
  4. Step 4: Simplify right side
    663.94x = 2,086,038.60
  5. Step 5: Solve for x
    x = 2,086,038.60/663.94
  6. Step 6: Final answer
    x = 3,141.92

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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.