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Finding the Third Proportional to 222,956 and 476,152

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Solution

The third proportional to 222,956 and 476,152 is: 1,016,885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,956 : 476,152 = 476,152 : x
  2. Step 2: Convert to fraction form
    222,956/476,152 = 476,152/x
  3. Step 3: Cross multiply
    222,956x = 476,152 × 476,152
  4. Step 4: Simplify right side
    222,956x = 226,720,727,104
  5. Step 5: Solve for x
    x = 226,720,727,104/222,956
  6. Step 6: Final answer
    x = 1,016,885.52

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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.