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Finding the Third Proportional to 226,400.63 and 471,403.13

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Solution

The third proportional to 226,400.63 and 471,403.13 is: 981,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,400.63 : 471,403.13 = 471,403.13 : x
  2. Step 2: Convert to fraction form
    226,400.63/471,403.13 = 471,403.13/x
  3. Step 3: Cross multiply
    226,400.63x = 471,403.13 × 471,403.13
  4. Step 4: Simplify right side
    226,400.63x = 222,220,906,259.77
  5. Step 5: Solve for x
    x = 222,220,906,259.77/226,400.63
  6. Step 6: Final answer
    x = 981,538.40

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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.