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Finding the Third Proportional to 396,690 and 595,898

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Solution

The third proportional to 396,690 and 595,898 is: 895,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,690 : 595,898 = 595,898 : x
  2. Step 2: Convert to fraction form
    396,690/595,898 = 595,898/x
  3. Step 3: Cross multiply
    396,690x = 595,898 × 595,898
  4. Step 4: Simplify right side
    396,690x = 355,094,426,404
  5. Step 5: Solve for x
    x = 355,094,426,404/396,690
  6. Step 6: Final answer
    x = 895,143.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.