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Finding the Third Proportional to 396,497.75 and 594,868.25

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Solution

The third proportional to 396,497.75 and 594,868.25 is: 892,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,497.75 : 594,868.25 = 594,868.25 : x
  2. Step 2: Convert to fraction form
    396,497.75/594,868.25 = 594,868.25/x
  3. Step 3: Cross multiply
    396,497.75x = 594,868.25 × 594,868.25
  4. Step 4: Simplify right side
    396,497.75x = 353,868,234,858.06
  5. Step 5: Solve for x
    x = 353,868,234,858.06/396,497.75
  6. Step 6: Final answer
    x = 892,484.85

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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.