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Finding the Third Proportional to 333.75 and 731.79

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Solution

The third proportional to 333.75 and 731.79 is: 1,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.75 : 731.79 = 731.79 : x
  2. Step 2: Convert to fraction form
    333.75/731.79 = 731.79/x
  3. Step 3: Cross multiply
    333.75x = 731.79 × 731.79
  4. Step 4: Simplify right side
    333.75x = 535,514.16
  5. Step 5: Solve for x
    x = 535,514.16/333.75
  6. Step 6: Final answer
    x = 1,604.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.