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Finding the Third Proportional to 396,801 and 596,106

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Solution

The third proportional to 396,801 and 596,106 is: 895,517.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,801 : 596,106 = 596,106 : x
  2. Step 2: Convert to fraction form
    396,801/596,106 = 596,106/x
  3. Step 3: Cross multiply
    396,801x = 596,106 × 596,106
  4. Step 4: Simplify right side
    396,801x = 355,342,363,236
  5. Step 5: Solve for x
    x = 355,342,363,236/396,801
  6. Step 6: Final answer
    x = 895,517.81

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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.