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Finding the Third Proportional to 596.75 and 731.75

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Solution

The third proportional to 596.75 and 731.75 is: 897.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.75 : 731.75 = 731.75 : x
  2. Step 2: Convert to fraction form
    596.75/731.75 = 731.75/x
  3. Step 3: Cross multiply
    596.75x = 731.75 × 731.75
  4. Step 4: Simplify right side
    596.75x = 535,458.06
  5. Step 5: Solve for x
    x = 535,458.06/596.75
  6. Step 6: Final answer
    x = 897.29

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.