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Finding the Third Proportional to 217,224 and 481,104

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Solution

The third proportional to 217,224 and 481,104 is: 1,065,540.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,224 : 481,104 = 481,104 : x
  2. Step 2: Convert to fraction form
    217,224/481,104 = 481,104/x
  3. Step 3: Cross multiply
    217,224x = 481,104 × 481,104
  4. Step 4: Simplify right side
    217,224x = 231,461,058,816
  5. Step 5: Solve for x
    x = 231,461,058,816/217,224
  6. Step 6: Final answer
    x = 1,065,540.91

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.