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Finding the Third Proportional to 222,435 and 463,302

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Solution

The third proportional to 222,435 and 463,302 is: 964,995.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,435 : 463,302 = 463,302 : x
  2. Step 2: Convert to fraction form
    222,435/463,302 = 463,302/x
  3. Step 3: Cross multiply
    222,435x = 463,302 × 463,302
  4. Step 4: Simplify right side
    222,435x = 214,648,743,204
  5. Step 5: Solve for x
    x = 214,648,743,204/222,435
  6. Step 6: Final answer
    x = 964,995.36

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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.