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Finding the Third Proportional to 267,936 and 414,693

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Solution

The third proportional to 267,936 and 414,693 is: 641,833.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,936 : 414,693 = 414,693 : x
  2. Step 2: Convert to fraction form
    267,936/414,693 = 414,693/x
  3. Step 3: Cross multiply
    267,936x = 414,693 × 414,693
  4. Step 4: Simplify right side
    267,936x = 171,970,284,249
  5. Step 5: Solve for x
    x = 171,970,284,249/267,936
  6. Step 6: Final answer
    x = 641,833.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.