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Finding the Third Proportional to 342,956.25 and 521,273.25

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Solution

The third proportional to 342,956.25 and 521,273.25 is: 792,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,956.25 : 521,273.25 = 521,273.25 : x
  2. Step 2: Convert to fraction form
    342,956.25/521,273.25 = 521,273.25/x
  3. Step 3: Cross multiply
    342,956.25x = 521,273.25 × 521,273.25
  4. Step 4: Simplify right side
    342,956.25x = 271,725,801,165.56
  5. Step 5: Solve for x
    x = 271,725,801,165.56/342,956.25
  6. Step 6: Final answer
    x = 792,304.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.