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Finding the Third Proportional to 440.99 and 963.97

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Solution

The third proportional to 440.99 and 963.97 is: 2,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.99 : 963.97 = 963.97 : x
  2. Step 2: Convert to fraction form
    440.99/963.97 = 963.97/x
  3. Step 3: Cross multiply
    440.99x = 963.97 × 963.97
  4. Step 4: Simplify right side
    440.99x = 929,240.46
  5. Step 5: Solve for x
    x = 929,240.46/440.99
  6. Step 6: Final answer
    x = 2,107.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.