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Finding the Third Proportional to 267,867 and 404,538.75

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Solution

The third proportional to 267,867 and 404,538.75 is: 610,943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,867 : 404,538.75 = 404,538.75 : x
  2. Step 2: Convert to fraction form
    267,867/404,538.75 = 404,538.75/x
  3. Step 3: Cross multiply
    267,867x = 404,538.75 × 404,538.75
  4. Step 4: Simplify right side
    267,867x = 163,651,600,251.56
  5. Step 5: Solve for x
    x = 163,651,600,251.56/267,867
  6. Step 6: Final answer
    x = 610,943.49

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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.