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Finding the Third Proportional to 342,849 and 522,975

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Solution

The third proportional to 342,849 and 522,975 is: 797,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,849 : 522,975 = 522,975 : x
  2. Step 2: Convert to fraction form
    342,849/522,975 = 522,975/x
  3. Step 3: Cross multiply
    342,849x = 522,975 × 522,975
  4. Step 4: Simplify right side
    342,849x = 273,502,850,625
  5. Step 5: Solve for x
    x = 273,502,850,625/342,849
  6. Step 6: Final answer
    x = 797,735.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.