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Finding the Third Proportional to 499,698 and 799,227

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Solution

The third proportional to 499,698 and 799,227 is: 1,278,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,698 : 799,227 = 799,227 : x
  2. Step 2: Convert to fraction form
    499,698/799,227 = 799,227/x
  3. Step 3: Cross multiply
    499,698x = 799,227 × 799,227
  4. Step 4: Simplify right side
    499,698x = 638,763,797,529
  5. Step 5: Solve for x
    x = 638,763,797,529/499,698
  6. Step 6: Final answer
    x = 1,278,299.69

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.