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Finding the Third Proportional to 204,499.69 and 441,667.69

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Solution

The third proportional to 204,499.69 and 441,667.69 is: 953,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,499.69 : 441,667.69 = 441,667.69 : x
  2. Step 2: Convert to fraction form
    204,499.69/441,667.69 = 441,667.69/x
  3. Step 3: Cross multiply
    204,499.69x = 441,667.69 × 441,667.69
  4. Step 4: Simplify right side
    204,499.69x = 195,070,346,181.60
  5. Step 5: Solve for x
    x = 195,070,346,181.60/204,499.69
  6. Step 6: Final answer
    x = 953,890.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.