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Finding the Third Proportional to 222,884 and 486,392

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Solution

The third proportional to 222,884 and 486,392 is: 1,061,436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,884 : 486,392 = 486,392 : x
  2. Step 2: Convert to fraction form
    222,884/486,392 = 486,392/x
  3. Step 3: Cross multiply
    222,884x = 486,392 × 486,392
  4. Step 4: Simplify right side
    222,884x = 236,577,177,664
  5. Step 5: Solve for x
    x = 236,577,177,664/222,884
  6. Step 6: Final answer
    x = 1,061,436.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.