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Finding the Third Proportional to 226,197 and 470,997

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Solution

The third proportional to 226,197 and 470,997 is: 980,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,197 : 470,997 = 470,997 : x
  2. Step 2: Convert to fraction form
    226,197/470,997 = 470,997/x
  3. Step 3: Cross multiply
    226,197x = 470,997 × 470,997
  4. Step 4: Simplify right side
    226,197x = 221,838,174,009
  5. Step 5: Solve for x
    x = 221,838,174,009/226,197
  6. Step 6: Final answer
    x = 980,729.96

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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.