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Finding the Third Proportional to 267,918 and 364,859

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Solution

The third proportional to 267,918 and 364,859 is: 496,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,918 : 364,859 = 364,859 : x
  2. Step 2: Convert to fraction form
    267,918/364,859 = 364,859/x
  3. Step 3: Cross multiply
    267,918x = 364,859 × 364,859
  4. Step 4: Simplify right side
    267,918x = 133,122,089,881
  5. Step 5: Solve for x
    x = 133,122,089,881/267,918
  6. Step 6: Final answer
    x = 496,876.25

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Why These Related Problems?

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