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Finding the Third Proportional to 226,638 and 480,195

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Solution

The third proportional to 226,638 and 480,195 is: 1,017,425.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,638 : 480,195 = 480,195 : x
  2. Step 2: Convert to fraction form
    226,638/480,195 = 480,195/x
  3. Step 3: Cross multiply
    226,638x = 480,195 × 480,195
  4. Step 4: Simplify right side
    226,638x = 230,587,238,025
  5. Step 5: Solve for x
    x = 230,587,238,025/226,638
  6. Step 6: Final answer
    x = 1,017,425.31

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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.