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Finding the Third Proportional to 396,823 and 596,138

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Solution

The third proportional to 396,823 and 596,138 is: 895,564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,823 : 596,138 = 596,138 : x
  2. Step 2: Convert to fraction form
    396,823/596,138 = 596,138/x
  3. Step 3: Cross multiply
    396,823x = 596,138 × 596,138
  4. Step 4: Simplify right side
    396,823x = 355,380,515,044
  5. Step 5: Solve for x
    x = 355,380,515,044/396,823
  6. Step 6: Final answer
    x = 895,564.31

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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.