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Finding the Third Proportional to 220,619 and 476,231

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Solution

The third proportional to 220,619 and 476,231 is: 1,027,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,619 : 476,231 = 476,231 : x
  2. Step 2: Convert to fraction form
    220,619/476,231 = 476,231/x
  3. Step 3: Cross multiply
    220,619x = 476,231 × 476,231
  4. Step 4: Simplify right side
    220,619x = 226,795,965,361
  5. Step 5: Solve for x
    x = 226,795,965,361/220,619
  6. Step 6: Final answer
    x = 1,027,998.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.