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Finding the Third Proportional to 226,268 and 471,309

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Solution

The third proportional to 226,268 and 471,309 is: 981,721.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,268 : 471,309 = 471,309 : x
  2. Step 2: Convert to fraction form
    226,268/471,309 = 471,309/x
  3. Step 3: Cross multiply
    226,268x = 471,309 × 471,309
  4. Step 4: Simplify right side
    226,268x = 222,132,173,481
  5. Step 5: Solve for x
    x = 222,132,173,481/226,268
  6. Step 6: Final answer
    x = 981,721.56

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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.