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Finding the Third Proportional to 203,887.13 and 479,707.31

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Solution

The third proportional to 203,887.13 and 479,707.31 is: 1,128,659.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,887.13 : 479,707.31 = 479,707.31 : x
  2. Step 2: Convert to fraction form
    203,887.13/479,707.31 = 479,707.31/x
  3. Step 3: Cross multiply
    203,887.13x = 479,707.31 × 479,707.31
  4. Step 4: Simplify right side
    203,887.13x = 230,119,105,665.97
  5. Step 5: Solve for x
    x = 230,119,105,665.97/203,887.13
  6. Step 6: Final answer
    x = 1,128,659.33

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.