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Finding the Third Proportional to 222,512 and 463,432

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Solution

The third proportional to 222,512 and 463,432 is: 965,202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,512 : 463,432 = 463,432 : x
  2. Step 2: Convert to fraction form
    222,512/463,432 = 463,432/x
  3. Step 3: Cross multiply
    222,512x = 463,432 × 463,432
  4. Step 4: Simplify right side
    222,512x = 214,769,218,624
  5. Step 5: Solve for x
    x = 214,769,218,624/222,512
  6. Step 6: Final answer
    x = 965,202.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.