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Finding the Third Proportional to 267,852 and 405,234

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Solution

The third proportional to 267,852 and 405,234 is: 613,079.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,852 : 405,234 = 405,234 : x
  2. Step 2: Convert to fraction form
    267,852/405,234 = 405,234/x
  3. Step 3: Cross multiply
    267,852x = 405,234 × 405,234
  4. Step 4: Simplify right side
    267,852x = 164,214,594,756
  5. Step 5: Solve for x
    x = 164,214,594,756/267,852
  6. Step 6: Final answer
    x = 613,079.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.