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Finding the Third Proportional to 264,022 and 396,039

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Solution

The third proportional to 264,022 and 396,039 is: 594,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,022 : 396,039 = 396,039 : x
  2. Step 2: Convert to fraction form
    264,022/396,039 = 396,039/x
  3. Step 3: Cross multiply
    264,022x = 396,039 × 396,039
  4. Step 4: Simplify right side
    264,022x = 156,846,889,521
  5. Step 5: Solve for x
    x = 156,846,889,521/264,022
  6. Step 6: Final answer
    x = 594,067.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.