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Finding the Third Proportional to 212,691 and 464,016

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Solution

The third proportional to 212,691 and 464,016 is: 1,012,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,691 : 464,016 = 464,016 : x
  2. Step 2: Convert to fraction form
    212,691/464,016 = 464,016/x
  3. Step 3: Cross multiply
    212,691x = 464,016 × 464,016
  4. Step 4: Simplify right side
    212,691x = 215,310,848,256
  5. Step 5: Solve for x
    x = 215,310,848,256/212,691
  6. Step 6: Final answer
    x = 1,012,317.63

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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.