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Finding the Third Proportional to 267,006 and 543,928

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Solution

The third proportional to 267,006 and 543,928 is: 1,108,056.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,006 : 543,928 = 543,928 : x
  2. Step 2: Convert to fraction form
    267,006/543,928 = 543,928/x
  3. Step 3: Cross multiply
    267,006x = 543,928 × 543,928
  4. Step 4: Simplify right side
    267,006x = 295,857,669,184
  5. Step 5: Solve for x
    x = 295,857,669,184/267,006
  6. Step 6: Final answer
    x = 1,108,056.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.