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Finding the Third Proportional to 204,699.38 and 444,363.75

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Solution

The third proportional to 204,699.38 and 444,363.75 is: 964,629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,699.38 : 444,363.75 = 444,363.75 : x
  2. Step 2: Convert to fraction form
    204,699.38/444,363.75 = 444,363.75/x
  3. Step 3: Cross multiply
    204,699.38x = 444,363.75 × 444,363.75
  4. Step 4: Simplify right side
    204,699.38x = 197,459,142,314.06
  5. Step 5: Solve for x
    x = 197,459,142,314.06/204,699.38
  6. Step 6: Final answer
    x = 964,629.92

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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.