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Finding the Third Proportional to 222,059 and 475,846

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Solution

The third proportional to 222,059 and 475,846 is: 1,019,681.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,059 : 475,846 = 475,846 : x
  2. Step 2: Convert to fraction form
    222,059/475,846 = 475,846/x
  3. Step 3: Cross multiply
    222,059x = 475,846 × 475,846
  4. Step 4: Simplify right side
    222,059x = 226,429,415,716
  5. Step 5: Solve for x
    x = 226,429,415,716/222,059
  6. Step 6: Final answer
    x = 1,019,681.33

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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.