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Finding the Third Proportional to 745.03 and 963.42

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Solution

The third proportional to 745.03 and 963.42 is: 1,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.03 : 963.42 = 963.42 : x
  2. Step 2: Convert to fraction form
    745.03/963.42 = 963.42/x
  3. Step 3: Cross multiply
    745.03x = 963.42 × 963.42
  4. Step 4: Simplify right side
    745.03x = 928,181.71
  5. Step 5: Solve for x
    x = 928,181.71/745.03
  6. Step 6: Final answer
    x = 1,245.83

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.