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Finding the Third Proportional to 226,421 and 471,218

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Solution

The third proportional to 226,421 and 471,218 is: 980,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,421 : 471,218 = 471,218 : x
  2. Step 2: Convert to fraction form
    226,421/471,218 = 471,218/x
  3. Step 3: Cross multiply
    226,421x = 471,218 × 471,218
  4. Step 4: Simplify right side
    226,421x = 222,046,403,524
  5. Step 5: Solve for x
    x = 222,046,403,524/226,421
  6. Step 6: Final answer
    x = 980,679.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.