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Finding the Third Proportional to 226,028 and 482,044

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Solution

The third proportional to 226,028 and 482,044 is: 1,028,042.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,028 : 482,044 = 482,044 : x
  2. Step 2: Convert to fraction form
    226,028/482,044 = 482,044/x
  3. Step 3: Cross multiply
    226,028x = 482,044 × 482,044
  4. Step 4: Simplify right side
    226,028x = 232,366,417,936
  5. Step 5: Solve for x
    x = 232,366,417,936/226,028
  6. Step 6: Final answer
    x = 1,028,042.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.