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Finding the Third Proportional to 396,817 and 596,129

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Solution

The third proportional to 396,817 and 596,129 is: 895,550.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,817 : 596,129 = 596,129 : x
  2. Step 2: Convert to fraction form
    396,817/596,129 = 596,129/x
  3. Step 3: Cross multiply
    396,817x = 596,129 × 596,129
  4. Step 4: Simplify right side
    396,817x = 355,369,784,641
  5. Step 5: Solve for x
    x = 355,369,784,641/396,817
  6. Step 6: Final answer
    x = 895,550.81

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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.