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Finding the Third Proportional to 596.75 and 704.75

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Solution

The third proportional to 596.75 and 704.75 is: 832.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.75 : 704.75 = 704.75 : x
  2. Step 2: Convert to fraction form
    596.75/704.75 = 704.75/x
  3. Step 3: Cross multiply
    596.75x = 704.75 × 704.75
  4. Step 4: Simplify right side
    596.75x = 496,672.56
  5. Step 5: Solve for x
    x = 496,672.56/596.75
  6. Step 6: Final answer
    x = 832.30

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.