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Finding the Third Proportional to 267,684 and 403,794

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Solution

The third proportional to 267,684 and 403,794 is: 609,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,684 : 403,794 = 403,794 : x
  2. Step 2: Convert to fraction form
    267,684/403,794 = 403,794/x
  3. Step 3: Cross multiply
    267,684x = 403,794 × 403,794
  4. Step 4: Simplify right side
    267,684x = 163,049,594,436
  5. Step 5: Solve for x
    x = 163,049,594,436/267,684
  6. Step 6: Final answer
    x = 609,112.22

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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.