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Finding the Third Proportional to 393.19 and 600.75

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Solution

The third proportional to 393.19 and 600.75 is: 917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.19 : 600.75 = 600.75 : x
  2. Step 2: Convert to fraction form
    393.19/600.75 = 600.75/x
  3. Step 3: Cross multiply
    393.19x = 600.75 × 600.75
  4. Step 4: Simplify right side
    393.19x = 360,900.56
  5. Step 5: Solve for x
    x = 360,900.56/393.19
  6. Step 6: Final answer
    x = 917.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.