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Finding the Third Proportional to 211,272 and 464,016

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Solution

The third proportional to 211,272 and 464,016 is: 1,019,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,272 : 464,016 = 464,016 : x
  2. Step 2: Convert to fraction form
    211,272/464,016 = 464,016/x
  3. Step 3: Cross multiply
    211,272x = 464,016 × 464,016
  4. Step 4: Simplify right side
    211,272x = 215,310,848,256
  5. Step 5: Solve for x
    x = 215,310,848,256/211,272
  6. Step 6: Final answer
    x = 1,019,116.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.