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Finding the Third Proportional to 267,884 and 363,819

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Solution

The third proportional to 267,884 and 363,819 is: 494,110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,884 : 363,819 = 363,819 : x
  2. Step 2: Convert to fraction form
    267,884/363,819 = 363,819/x
  3. Step 3: Cross multiply
    267,884x = 363,819 × 363,819
  4. Step 4: Simplify right side
    267,884x = 132,364,264,761
  5. Step 5: Solve for x
    x = 132,364,264,761/267,884
  6. Step 6: Final answer
    x = 494,110.38

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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.