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Finding the Third Proportional to 604.03 and 981.05

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Solution

The third proportional to 604.03 and 981.05 is: 1,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.03 : 981.05 = 981.05 : x
  2. Step 2: Convert to fraction form
    604.03/981.05 = 981.05/x
  3. Step 3: Cross multiply
    604.03x = 981.05 × 981.05
  4. Step 4: Simplify right side
    604.03x = 962,452.97
  5. Step 5: Solve for x
    x = 962,452.97/604.03
  6. Step 6: Final answer
    x = 1,593.38

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.