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Finding the Third Proportional to 226,504 and 475,036

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Solution

The third proportional to 226,504 and 475,036 is: 996,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,504 : 475,036 = 475,036 : x
  2. Step 2: Convert to fraction form
    226,504/475,036 = 475,036/x
  3. Step 3: Cross multiply
    226,504x = 475,036 × 475,036
  4. Step 4: Simplify right side
    226,504x = 225,659,201,296
  5. Step 5: Solve for x
    x = 225,659,201,296/226,504
  6. Step 6: Final answer
    x = 996,270.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.