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Finding the Third Proportional to 267,749 and 401,636

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Solution

The third proportional to 267,749 and 401,636 is: 602,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,749 : 401,636 = 401,636 : x
  2. Step 2: Convert to fraction form
    267,749/401,636 = 401,636/x
  3. Step 3: Cross multiply
    267,749x = 401,636 × 401,636
  4. Step 4: Simplify right side
    267,749x = 161,311,476,496
  5. Step 5: Solve for x
    x = 161,311,476,496/267,749
  6. Step 6: Final answer
    x = 602,472.75

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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.