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Finding the Third Proportional to 396,723 and 595,984.50

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Solution

The third proportional to 396,723 and 595,984.50 is: 895,328.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,723 : 595,984.50 = 595,984.50 : x
  2. Step 2: Convert to fraction form
    396,723/595,984.50 = 595,984.50/x
  3. Step 3: Cross multiply
    396,723x = 595,984.50 × 595,984.50
  4. Step 4: Simplify right side
    396,723x = 355,197,524,240.25
  5. Step 5: Solve for x
    x = 355,197,524,240.25/396,723
  6. Step 6: Final answer
    x = 895,328.79

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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.