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Finding the Third Proportional to 741 and 815.25

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Solution

The third proportional to 741 and 815.25 is: 896.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    741 : 815.25 = 815.25 : x
  2. Step 2: Convert to fraction form
    741/815.25 = 815.25/x
  3. Step 3: Cross multiply
    741x = 815.25 × 815.25
  4. Step 4: Simplify right side
    741x = 664,632.56
  5. Step 5: Solve for x
    x = 664,632.56/741
  6. Step 6: Final answer
    x = 896.94

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.