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Finding the Third Proportional to 226,811 and 482,296

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Solution

The third proportional to 226,811 and 482,296 is: 1,025,565.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,811 : 482,296 = 482,296 : x
  2. Step 2: Convert to fraction form
    226,811/482,296 = 482,296/x
  3. Step 3: Cross multiply
    226,811x = 482,296 × 482,296
  4. Step 4: Simplify right side
    226,811x = 232,609,431,616
  5. Step 5: Solve for x
    x = 232,609,431,616/226,811
  6. Step 6: Final answer
    x = 1,025,565.04

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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.