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Finding the Third Proportional to 267,956 and 414,717

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Solution

The third proportional to 267,956 and 414,717 is: 641,859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,956 : 414,717 = 414,717 : x
  2. Step 2: Convert to fraction form
    267,956/414,717 = 414,717/x
  3. Step 3: Cross multiply
    267,956x = 414,717 × 414,717
  4. Step 4: Simplify right side
    267,956x = 171,990,190,089
  5. Step 5: Solve for x
    x = 171,990,190,089/267,956
  6. Step 6: Final answer
    x = 641,859.82

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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.