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Finding the Third Proportional to 963.94 and 1,443.38

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Solution

The third proportional to 963.94 and 1,443.38 is: 2,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.94 : 1,443.38 = 1,443.38 : x
  2. Step 2: Convert to fraction form
    963.94/1,443.38 = 1,443.38/x
  3. Step 3: Cross multiply
    963.94x = 1,443.38 × 1,443.38
  4. Step 4: Simplify right side
    963.94x = 2,083,331.39
  5. Step 5: Solve for x
    x = 2,083,331.39/963.94
  6. Step 6: Final answer
    x = 2,161.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.