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Finding the Third Proportional to 267,561 and 364,437

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Solution

The third proportional to 267,561 and 364,437 is: 496,388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,561 : 364,437 = 364,437 : x
  2. Step 2: Convert to fraction form
    267,561/364,437 = 364,437/x
  3. Step 3: Cross multiply
    267,561x = 364,437 × 364,437
  4. Step 4: Simplify right side
    267,561x = 132,814,326,969
  5. Step 5: Solve for x
    x = 132,814,326,969/267,561
  6. Step 6: Final answer
    x = 496,388.96

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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.