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Finding the Third Proportional to 604.97 and 1,200.38

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Solution

The third proportional to 604.97 and 1,200.38 is: 2,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.97 : 1,200.38 = 1,200.38 : x
  2. Step 2: Convert to fraction form
    604.97/1,200.38 = 1,200.38/x
  3. Step 3: Cross multiply
    604.97x = 1,200.38 × 1,200.38
  4. Step 4: Simplify right side
    604.97x = 1,440,900.14
  5. Step 5: Solve for x
    x = 1,440,900.14/604.97
  6. Step 6: Final answer
    x = 2,381.78

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.