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Finding the Third Proportional to 600.75 and 938.88

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Solution

The third proportional to 600.75 and 938.88 is: 1,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.75 : 938.88 = 938.88 : x
  2. Step 2: Convert to fraction form
    600.75/938.88 = 938.88/x
  3. Step 3: Cross multiply
    600.75x = 938.88 × 938.88
  4. Step 4: Simplify right side
    600.75x = 881,486.27
  5. Step 5: Solve for x
    x = 881,486.27/600.75
  6. Step 6: Final answer
    x = 1,467.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.