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Finding the Third Proportional to 324.75 and 757.88

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Solution

The third proportional to 324.75 and 757.88 is: 1,768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.75 : 757.88 = 757.88 : x
  2. Step 2: Convert to fraction form
    324.75/757.88 = 757.88/x
  3. Step 3: Cross multiply
    324.75x = 757.88 × 757.88
  4. Step 4: Simplify right side
    324.75x = 574,374.52
  5. Step 5: Solve for x
    x = 574,374.52/324.75
  6. Step 6: Final answer
    x = 1,768.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.