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Finding the Third Proportional to 396,911 and 596,261

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Solution

The third proportional to 396,911 and 596,261 is: 895,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,911 : 596,261 = 596,261 : x
  2. Step 2: Convert to fraction form
    396,911/596,261 = 596,261/x
  3. Step 3: Cross multiply
    396,911x = 596,261 × 596,261
  4. Step 4: Simplify right side
    396,911x = 355,527,180,121
  5. Step 5: Solve for x
    x = 355,527,180,121/396,911
  6. Step 6: Final answer
    x = 895,735.27

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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.