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Finding the Third Proportional to 267,567 and 414,383

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Solution

The third proportional to 267,567 and 414,383 is: 641,758.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,567 : 414,383 = 414,383 : x
  2. Step 2: Convert to fraction form
    267,567/414,383 = 414,383/x
  3. Step 3: Cross multiply
    267,567x = 414,383 × 414,383
  4. Step 4: Simplify right side
    267,567x = 171,713,270,689
  5. Step 5: Solve for x
    x = 171,713,270,689/267,567
  6. Step 6: Final answer
    x = 641,758.03

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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.