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Finding the Third Proportional to 465.75 and 748.38

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Solution

The third proportional to 465.75 and 748.38 is: 1,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.75 : 748.38 = 748.38 : x
  2. Step 2: Convert to fraction form
    465.75/748.38 = 748.38/x
  3. Step 3: Cross multiply
    465.75x = 748.38 × 748.38
  4. Step 4: Simplify right side
    465.75x = 560,065.14
  5. Step 5: Solve for x
    x = 560,065.14/465.75
  6. Step 6: Final answer
    x = 1,202.50

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.