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Finding the Third Proportional to 220,815 and 476,622

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Solution

The third proportional to 220,815 and 476,622 is: 1,028,773.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,815 : 476,622 = 476,622 : x
  2. Step 2: Convert to fraction form
    220,815/476,622 = 476,622/x
  3. Step 3: Cross multiply
    220,815x = 476,622 × 476,622
  4. Step 4: Simplify right side
    220,815x = 227,168,530,884
  5. Step 5: Solve for x
    x = 227,168,530,884/220,815
  6. Step 6: Final answer
    x = 1,028,773.09

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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.