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Finding the Third Proportional to 214,647 and 466,167

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Solution

The third proportional to 214,647 and 466,167 is: 1,012,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,647 : 466,167 = 466,167 : x
  2. Step 2: Convert to fraction form
    214,647/466,167 = 466,167/x
  3. Step 3: Cross multiply
    214,647x = 466,167 × 466,167
  4. Step 4: Simplify right side
    214,647x = 217,311,671,889
  5. Step 5: Solve for x
    x = 217,311,671,889/214,647
  6. Step 6: Final answer
    x = 1,012,414.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.