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Finding the Third Proportional to 263,122.38 and 366,594.88

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Solution

The third proportional to 263,122.38 and 366,594.88 is: 510,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,122.38 : 366,594.88 = 366,594.88 : x
  2. Step 2: Convert to fraction form
    263,122.38/366,594.88 = 366,594.88/x
  3. Step 3: Cross multiply
    263,122.38x = 366,594.88 × 366,594.88
  4. Step 4: Simplify right side
    263,122.38x = 134,391,802,376.27
  5. Step 5: Solve for x
    x = 134,391,802,376.27/263,122.38
  6. Step 6: Final answer
    x = 510,757.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.