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Finding the Third Proportional to 267,910 and 364,847

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Solution

The third proportional to 267,910 and 364,847 is: 496,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,910 : 364,847 = 364,847 : x
  2. Step 2: Convert to fraction form
    267,910/364,847 = 364,847/x
  3. Step 3: Cross multiply
    267,910x = 364,847 × 364,847
  4. Step 4: Simplify right side
    267,910x = 133,113,333,409
  5. Step 5: Solve for x
    x = 133,113,333,409/267,910
  6. Step 6: Final answer
    x = 496,858.40

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.