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Finding the Third Proportional to 250,651.69 and 521,958.38

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Solution

The third proportional to 250,651.69 and 521,958.38 is: 1,086,928.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,651.69 : 521,958.38 = 521,958.38 : x
  2. Step 2: Convert to fraction form
    250,651.69/521,958.38 = 521,958.38/x
  3. Step 3: Cross multiply
    250,651.69x = 521,958.38 × 521,958.38
  4. Step 4: Simplify right side
    250,651.69x = 272,440,545,232.64
  5. Step 5: Solve for x
    x = 272,440,545,232.64/250,651.69
  6. Step 6: Final answer
    x = 1,086,928.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.