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Finding the Third Proportional to 222,824 and 460,408

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Solution

The third proportional to 222,824 and 460,408 is: 951,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,824 : 460,408 = 460,408 : x
  2. Step 2: Convert to fraction form
    222,824/460,408 = 460,408/x
  3. Step 3: Cross multiply
    222,824x = 460,408 × 460,408
  4. Step 4: Simplify right side
    222,824x = 211,975,526,464
  5. Step 5: Solve for x
    x = 211,975,526,464/222,824
  6. Step 6: Final answer
    x = 951,313.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.