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Finding the Third Proportional to 267,738 and 401,634

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Solution

The third proportional to 267,738 and 401,634 is: 602,491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,738 : 401,634 = 401,634 : x
  2. Step 2: Convert to fraction form
    267,738/401,634 = 401,634/x
  3. Step 3: Cross multiply
    267,738x = 401,634 × 401,634
  4. Step 4: Simplify right side
    267,738x = 161,309,869,956
  5. Step 5: Solve for x
    x = 161,309,869,956/267,738
  6. Step 6: Final answer
    x = 602,491.50

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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.