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Finding the Third Proportional to 600.75 and 993.56

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Solution

The third proportional to 600.75 and 993.56 is: 1,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.75 : 993.56 = 993.56 : x
  2. Step 2: Convert to fraction form
    600.75/993.56 = 993.56/x
  3. Step 3: Cross multiply
    600.75x = 993.56 × 993.56
  4. Step 4: Simplify right side
    600.75x = 987,166.44
  5. Step 5: Solve for x
    x = 987,166.44/600.75
  6. Step 6: Final answer
    x = 1,643.22

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.