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Finding the Third Proportional to 267,926 and 364,871

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Solution

The third proportional to 267,926 and 364,871 is: 496,894.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,926 : 364,871 = 364,871 : x
  2. Step 2: Convert to fraction form
    267,926/364,871 = 364,871/x
  3. Step 3: Cross multiply
    267,926x = 364,871 × 364,871
  4. Step 4: Simplify right side
    267,926x = 133,130,846,641
  5. Step 5: Solve for x
    x = 133,130,846,641/267,926
  6. Step 6: Final answer
    x = 496,894.09

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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.