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Finding the Third Proportional to 222,066 and 452,376

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Solution

The third proportional to 222,066 and 452,376 is: 921,546.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,066 : 452,376 = 452,376 : x
  2. Step 2: Convert to fraction form
    222,066/452,376 = 452,376/x
  3. Step 3: Cross multiply
    222,066x = 452,376 × 452,376
  4. Step 4: Simplify right side
    222,066x = 204,644,045,376
  5. Step 5: Solve for x
    x = 204,644,045,376/222,066
  6. Step 6: Final answer
    x = 921,546.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.