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Finding the Third Proportional to 223,022 and 481,036

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Solution

The third proportional to 223,022 and 481,036 is: 1,037,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,022 : 481,036 = 481,036 : x
  2. Step 2: Convert to fraction form
    223,022/481,036 = 481,036/x
  3. Step 3: Cross multiply
    223,022x = 481,036 × 481,036
  4. Step 4: Simplify right side
    223,022x = 231,395,633,296
  5. Step 5: Solve for x
    x = 231,395,633,296/223,022
  6. Step 6: Final answer
    x = 1,037,546.22

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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.