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Finding the Third Proportional to 214,436 and 471,212

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Solution

The third proportional to 214,436 and 471,212 is: 1,035,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,436 : 471,212 = 471,212 : x
  2. Step 2: Convert to fraction form
    214,436/471,212 = 471,212/x
  3. Step 3: Cross multiply
    214,436x = 471,212 × 471,212
  4. Step 4: Simplify right side
    214,436x = 222,040,748,944
  5. Step 5: Solve for x
    x = 222,040,748,944/214,436
  6. Step 6: Final answer
    x = 1,035,463.96

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