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Finding the Third Proportional to 226,370 and 481,668

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Solution

The third proportional to 226,370 and 481,668 is: 1,024,888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,370 : 481,668 = 481,668 : x
  2. Step 2: Convert to fraction form
    226,370/481,668 = 481,668/x
  3. Step 3: Cross multiply
    226,370x = 481,668 × 481,668
  4. Step 4: Simplify right side
    226,370x = 232,004,062,224
  5. Step 5: Solve for x
    x = 232,004,062,224/226,370
  6. Step 6: Final answer
    x = 1,024,888.73

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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.