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Finding the Third Proportional to 267,394 and 401,149

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Solution

The third proportional to 267,394 and 401,149 is: 601,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,394 : 401,149 = 401,149 : x
  2. Step 2: Convert to fraction form
    267,394/401,149 = 401,149/x
  3. Step 3: Cross multiply
    267,394x = 401,149 × 401,149
  4. Step 4: Simplify right side
    267,394x = 160,920,520,201
  5. Step 5: Solve for x
    x = 160,920,520,201/267,394
  6. Step 6: Final answer
    x = 601,810.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.