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Finding the Third Proportional to 600.05 and 806.41

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Solution

The third proportional to 600.05 and 806.41 is: 1,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.05 : 806.41 = 806.41 : x
  2. Step 2: Convert to fraction form
    600.05/806.41 = 806.41/x
  3. Step 3: Cross multiply
    600.05x = 806.41 × 806.41
  4. Step 4: Simplify right side
    600.05x = 650,303.64
  5. Step 5: Solve for x
    x = 650,303.64/600.05
  6. Step 6: Final answer
    x = 1,083.75

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.