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Finding the Third Proportional to 396,667.13 and 595,866.38

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Solution

The third proportional to 396,667.13 and 595,866.38 is: 895,099.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,667.13 : 595,866.38 = 595,866.38 : x
  2. Step 2: Convert to fraction form
    396,667.13/595,866.38 = 595,866.38/x
  3. Step 3: Cross multiply
    396,667.13x = 595,866.38 × 595,866.38
  4. Step 4: Simplify right side
    396,667.13x = 355,056,736,855.64
  5. Step 5: Solve for x
    x = 355,056,736,855.64/396,667.13
  6. Step 6: Final answer
    x = 895,099.98

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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.