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Finding the Third Proportional to 396,786.75 and 594,255

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Solution

The third proportional to 396,786.75 and 594,255 is: 889,996.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,786.75 : 594,255 = 594,255 : x
  2. Step 2: Convert to fraction form
    396,786.75/594,255 = 594,255/x
  3. Step 3: Cross multiply
    396,786.75x = 594,255 × 594,255
  4. Step 4: Simplify right side
    396,786.75x = 353,139,005,025
  5. Step 5: Solve for x
    x = 353,139,005,025/396,786.75
  6. Step 6: Final answer
    x = 889,996.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.