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Finding the Third Proportional to 204,697.13 and 444,187.13

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Solution

The third proportional to 204,697.13 and 444,187.13 is: 963,873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,697.13 : 444,187.13 = 444,187.13 : x
  2. Step 2: Convert to fraction form
    204,697.13/444,187.13 = 444,187.13/x
  3. Step 3: Cross multiply
    204,697.13x = 444,187.13 × 444,187.13
  4. Step 4: Simplify right side
    204,697.13x = 197,302,202,015.77
  5. Step 5: Solve for x
    x = 197,302,202,015.77/204,697.13
  6. Step 6: Final answer
    x = 963,873.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.