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Finding the Third Proportional to 415,198.50 and 908,513.25

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Solution

The third proportional to 415,198.50 and 908,513.25 is: 1,987,955.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,198.50 : 908,513.25 = 908,513.25 : x
  2. Step 2: Convert to fraction form
    415,198.50/908,513.25 = 908,513.25/x
  3. Step 3: Cross multiply
    415,198.50x = 908,513.25 × 908,513.25
  4. Step 4: Simplify right side
    415,198.50x = 825,396,325,425.56
  5. Step 5: Solve for x
    x = 825,396,325,425.56/415,198.50
  6. Step 6: Final answer
    x = 1,987,955.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.