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Finding the Third Proportional to 440.44 and 964.41

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Solution

The third proportional to 440.44 and 964.41 is: 2,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.44 : 964.41 = 964.41 : x
  2. Step 2: Convert to fraction form
    440.44/964.41 = 964.41/x
  3. Step 3: Cross multiply
    440.44x = 964.41 × 964.41
  4. Step 4: Simplify right side
    440.44x = 930,079.42
  5. Step 5: Solve for x
    x = 930,079.42/440.44
  6. Step 6: Final answer
    x = 2,111.72

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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.