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Finding the Third Proportional to 222,771 and 457,351

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Solution

The third proportional to 222,771 and 457,351 is: 938,945.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,771 : 457,351 = 457,351 : x
  2. Step 2: Convert to fraction form
    222,771/457,351 = 457,351/x
  3. Step 3: Cross multiply
    222,771x = 457,351 × 457,351
  4. Step 4: Simplify right side
    222,771x = 209,169,937,201
  5. Step 5: Solve for x
    x = 209,169,937,201/222,771
  6. Step 6: Final answer
    x = 938,945.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.