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Finding the Third Proportional to 415,498.50 and 893,067

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Solution

The third proportional to 415,498.50 and 893,067 is: 1,919,546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,498.50 : 893,067 = 893,067 : x
  2. Step 2: Convert to fraction form
    415,498.50/893,067 = 893,067/x
  3. Step 3: Cross multiply
    415,498.50x = 893,067 × 893,067
  4. Step 4: Simplify right side
    415,498.50x = 797,568,666,489
  5. Step 5: Solve for x
    x = 797,568,666,489/415,498.50
  6. Step 6: Final answer
    x = 1,919,546.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.