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Finding the Third Proportional to 267,885 and 364,808.50

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Solution

The third proportional to 267,885 and 364,808.50 is: 496,799.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,885 : 364,808.50 = 364,808.50 : x
  2. Step 2: Convert to fraction form
    267,885/364,808.50 = 364,808.50/x
  3. Step 3: Cross multiply
    267,885x = 364,808.50 × 364,808.50
  4. Step 4: Simplify right side
    267,885x = 133,085,241,672.25
  5. Step 5: Solve for x
    x = 133,085,241,672.25/267,885
  6. Step 6: Final answer
    x = 496,799.90

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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.