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Finding the Third Proportional to 226,233 and 474,498

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Solution

The third proportional to 226,233 and 474,498 is: 995,205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,233 : 474,498 = 474,498 : x
  2. Step 2: Convert to fraction form
    226,233/474,498 = 474,498/x
  3. Step 3: Cross multiply
    226,233x = 474,498 × 474,498
  4. Step 4: Simplify right side
    226,233x = 225,148,352,004
  5. Step 5: Solve for x
    x = 225,148,352,004/226,233
  6. Step 6: Final answer
    x = 995,205.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.