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Finding the Third Proportional to 963.42 and 1,305.56

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Solution

The third proportional to 963.42 and 1,305.56 is: 1,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.42 : 1,305.56 = 1,305.56 : x
  2. Step 2: Convert to fraction form
    963.42/1,305.56 = 1,305.56/x
  3. Step 3: Cross multiply
    963.42x = 1,305.56 × 1,305.56
  4. Step 4: Simplify right side
    963.42x = 1,704,493.44
  5. Step 5: Solve for x
    x = 1,704,493.44/963.42
  6. Step 6: Final answer
    x = 1,769.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.