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Finding the Third Proportional to 494.50 and 745.25

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Solution

The third proportional to 494.50 and 745.25 is: 1,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.50 : 745.25 = 745.25 : x
  2. Step 2: Convert to fraction form
    494.50/745.25 = 745.25/x
  3. Step 3: Cross multiply
    494.50x = 745.25 × 745.25
  4. Step 4: Simplify right side
    494.50x = 555,397.56
  5. Step 5: Solve for x
    x = 555,397.56/494.50
  6. Step 6: Final answer
    x = 1,123.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.