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Finding the Third Proportional to 222,064 and 481,568

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Solution

The third proportional to 222,064 and 481,568 is: 1,044,328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,064 : 481,568 = 481,568 : x
  2. Step 2: Convert to fraction form
    222,064/481,568 = 481,568/x
  3. Step 3: Cross multiply
    222,064x = 481,568 × 481,568
  4. Step 4: Simplify right side
    222,064x = 231,907,738,624
  5. Step 5: Solve for x
    x = 231,907,738,624/222,064
  6. Step 6: Final answer
    x = 1,044,328.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.