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Finding the Third Proportional to 267,895 and 364,821

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Solution

The third proportional to 267,895 and 364,821 is: 496,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,895 : 364,821 = 364,821 : x
  2. Step 2: Convert to fraction form
    267,895/364,821 = 364,821/x
  3. Step 3: Cross multiply
    267,895x = 364,821 × 364,821
  4. Step 4: Simplify right side
    267,895x = 133,094,362,041
  5. Step 5: Solve for x
    x = 133,094,362,041/267,895
  6. Step 6: Final answer
    x = 496,815.40

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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.