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Finding the Third Proportional to 225,900 and 470,512

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Solution

The third proportional to 225,900 and 470,512 is: 979,997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,900 : 470,512 = 470,512 : x
  2. Step 2: Convert to fraction form
    225,900/470,512 = 470,512/x
  3. Step 3: Cross multiply
    225,900x = 470,512 × 470,512
  4. Step 4: Simplify right side
    225,900x = 221,381,542,144
  5. Step 5: Solve for x
    x = 221,381,542,144/225,900
  6. Step 6: Final answer
    x = 979,997.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.