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Finding the Third Proportional to 363,849.75 and 521,016.75

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Solution

The third proportional to 363,849.75 and 521,016.75 is: 746,072.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,849.75 : 521,016.75 = 521,016.75 : x
  2. Step 2: Convert to fraction form
    363,849.75/521,016.75 = 521,016.75/x
  3. Step 3: Cross multiply
    363,849.75x = 521,016.75 × 521,016.75
  4. Step 4: Simplify right side
    363,849.75x = 271,458,453,780.56
  5. Step 5: Solve for x
    x = 271,458,453,780.56/363,849.75
  6. Step 6: Final answer
    x = 746,072.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.