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Finding the Third Proportional to 285,723 and 615,067

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Solution

The third proportional to 285,723 and 615,067 is: 1,324,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,723 : 615,067 = 615,067 : x
  2. Step 2: Convert to fraction form
    285,723/615,067 = 615,067/x
  3. Step 3: Cross multiply
    285,723x = 615,067 × 615,067
  4. Step 4: Simplify right side
    285,723x = 378,307,414,489
  5. Step 5: Solve for x
    x = 378,307,414,489/285,723
  6. Step 6: Final answer
    x = 1,324,035.57

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Why These Related Problems?

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