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Finding the Third Proportional to 339,098 and 524,234

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Solution

The third proportional to 339,098 and 524,234 is: 810,447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,098 : 524,234 = 524,234 : x
  2. Step 2: Convert to fraction form
    339,098/524,234 = 524,234/x
  3. Step 3: Cross multiply
    339,098x = 524,234 × 524,234
  4. Step 4: Simplify right side
    339,098x = 274,821,286,756
  5. Step 5: Solve for x
    x = 274,821,286,756/339,098
  6. Step 6: Final answer
    x = 810,447.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.