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Finding the Third Proportional to 267,860 and 363,786

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Solution

The third proportional to 267,860 and 363,786 is: 494,065.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,860 : 363,786 = 363,786 : x
  2. Step 2: Convert to fraction form
    267,860/363,786 = 363,786/x
  3. Step 3: Cross multiply
    267,860x = 363,786 × 363,786
  4. Step 4: Simplify right side
    267,860x = 132,340,253,796
  5. Step 5: Solve for x
    x = 132,340,253,796/267,860
  6. Step 6: Final answer
    x = 494,065.01

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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.