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Finding the Third Proportional to 264,332.25 and 396,579.38

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Solution

The third proportional to 264,332.25 and 396,579.38 is: 594,990.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,332.25 : 396,579.38 = 396,579.38 : x
  2. Step 2: Convert to fraction form
    264,332.25/396,579.38 = 396,579.38/x
  3. Step 3: Cross multiply
    264,332.25x = 396,579.38 × 396,579.38
  4. Step 4: Simplify right side
    264,332.25x = 157,275,200,675.39
  5. Step 5: Solve for x
    x = 157,275,200,675.39/264,332.25
  6. Step 6: Final answer
    x = 594,990.59

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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.