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Finding the Third Proportional to 228,376 and 481,372

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Solution

The third proportional to 228,376 and 481,372 is: 1,014,638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,376 : 481,372 = 481,372 : x
  2. Step 2: Convert to fraction form
    228,376/481,372 = 481,372/x
  3. Step 3: Cross multiply
    228,376x = 481,372 × 481,372
  4. Step 4: Simplify right side
    228,376x = 231,719,002,384
  5. Step 5: Solve for x
    x = 231,719,002,384/228,376
  6. Step 6: Final answer
    x = 1,014,638.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.