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Finding the Third Proportional to 419,772.38 and 899,383.50

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Solution

The third proportional to 419,772.38 and 899,383.50 is: 1,926,974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,772.38 : 899,383.50 = 899,383.50 : x
  2. Step 2: Convert to fraction form
    419,772.38/899,383.50 = 899,383.50/x
  3. Step 3: Cross multiply
    419,772.38x = 899,383.50 × 899,383.50
  4. Step 4: Simplify right side
    419,772.38x = 808,890,680,072.25
  5. Step 5: Solve for x
    x = 808,890,680,072.25/419,772.38
  6. Step 6: Final answer
    x = 1,926,974.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.