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Finding the Third Proportional to 697.78 and 762.75

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Solution

The third proportional to 697.78 and 762.75 is: 833.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.78 : 762.75 = 762.75 : x
  2. Step 2: Convert to fraction form
    697.78/762.75 = 762.75/x
  3. Step 3: Cross multiply
    697.78x = 762.75 × 762.75
  4. Step 4: Simplify right side
    697.78x = 581,787.56
  5. Step 5: Solve for x
    x = 581,787.56/697.78
  6. Step 6: Final answer
    x = 833.77

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.