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Finding the Third Proportional to 396,808 and 596,116

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Solution

The third proportional to 396,808 and 596,116 is: 895,532.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,808 : 596,116 = 596,116 : x
  2. Step 2: Convert to fraction form
    396,808/596,116 = 596,116/x
  3. Step 3: Cross multiply
    396,808x = 596,116 × 596,116
  4. Step 4: Simplify right side
    396,808x = 355,354,285,456
  5. Step 5: Solve for x
    x = 355,354,285,456/396,808
  6. Step 6: Final answer
    x = 895,532.06

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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.