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Finding the Third Proportional to 226,922 and 482,540

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Solution

The third proportional to 226,922 and 482,540 is: 1,026,100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,922 : 482,540 = 482,540 : x
  2. Step 2: Convert to fraction form
    226,922/482,540 = 482,540/x
  3. Step 3: Cross multiply
    226,922x = 482,540 × 482,540
  4. Step 4: Simplify right side
    226,922x = 232,844,851,600
  5. Step 5: Solve for x
    x = 232,844,851,600/226,922
  6. Step 6: Final answer
    x = 1,026,100.83

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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.