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Finding the Third Proportional to 342,067.50 and 728,424

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Solution

The third proportional to 342,067.50 and 728,424 is: 1,551,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,067.50 : 728,424 = 728,424 : x
  2. Step 2: Convert to fraction form
    342,067.50/728,424 = 728,424/x
  3. Step 3: Cross multiply
    342,067.50x = 728,424 × 728,424
  4. Step 4: Simplify right side
    342,067.50x = 530,601,523,776
  5. Step 5: Solve for x
    x = 530,601,523,776/342,067.50
  6. Step 6: Final answer
    x = 1,551,160.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.