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Finding the Third Proportional to 396,769 and 603,457

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Solution

The third proportional to 396,769 and 603,457 is: 917,814.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,769 : 603,457 = 603,457 : x
  2. Step 2: Convert to fraction form
    396,769/603,457 = 603,457/x
  3. Step 3: Cross multiply
    396,769x = 603,457 × 603,457
  4. Step 4: Simplify right side
    396,769x = 364,160,350,849
  5. Step 5: Solve for x
    x = 364,160,350,849/396,769
  6. Step 6: Final answer
    x = 917,814.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.