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Finding the Third Proportional to 222,740 and 463,912

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Solution

The third proportional to 222,740 and 463,912 is: 966,213.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,740 : 463,912 = 463,912 : x
  2. Step 2: Convert to fraction form
    222,740/463,912 = 463,912/x
  3. Step 3: Cross multiply
    222,740x = 463,912 × 463,912
  4. Step 4: Simplify right side
    222,740x = 215,214,343,744
  5. Step 5: Solve for x
    x = 215,214,343,744/222,740
  6. Step 6: Final answer
    x = 966,213.27

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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.