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Finding the Third Proportional to 226,848 and 462,912

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Solution

The third proportional to 226,848 and 462,912 is: 944,630.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,848 : 462,912 = 462,912 : x
  2. Step 2: Convert to fraction form
    226,848/462,912 = 462,912/x
  3. Step 3: Cross multiply
    226,848x = 462,912 × 462,912
  4. Step 4: Simplify right side
    226,848x = 214,287,519,744
  5. Step 5: Solve for x
    x = 214,287,519,744/226,848
  6. Step 6: Final answer
    x = 944,630.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.