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Finding the Third Proportional to 222,849 and 476,802

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Solution

The third proportional to 222,849 and 476,802 is: 1,020,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,849 : 476,802 = 476,802 : x
  2. Step 2: Convert to fraction form
    222,849/476,802 = 476,802/x
  3. Step 3: Cross multiply
    222,849x = 476,802 × 476,802
  4. Step 4: Simplify right side
    222,849x = 227,340,147,204
  5. Step 5: Solve for x
    x = 227,340,147,204/222,849
  6. Step 6: Final answer
    x = 1,020,153.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.