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Finding the Third Proportional to 214,137 and 466,404

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Solution

The third proportional to 214,137 and 466,404 is: 1,015,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,137 : 466,404 = 466,404 : x
  2. Step 2: Convert to fraction form
    214,137/466,404 = 466,404/x
  3. Step 3: Cross multiply
    214,137x = 466,404 × 466,404
  4. Step 4: Simplify right side
    214,137x = 217,532,691,216
  5. Step 5: Solve for x
    x = 217,532,691,216/214,137
  6. Step 6: Final answer
    x = 1,015,857.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.