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Finding the Third Proportional to 226,290 and 478,824

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Solution

The third proportional to 226,290 and 478,824 is: 1,013,179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,290 : 478,824 = 478,824 : x
  2. Step 2: Convert to fraction form
    226,290/478,824 = 478,824/x
  3. Step 3: Cross multiply
    226,290x = 478,824 × 478,824
  4. Step 4: Simplify right side
    226,290x = 229,272,422,976
  5. Step 5: Solve for x
    x = 229,272,422,976/226,290
  6. Step 6: Final answer
    x = 1,013,179.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.