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Finding the Third Proportional to 267,911 and 364,849.50

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Solution

The third proportional to 267,911 and 364,849.50 is: 496,863.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,911 : 364,849.50 = 364,849.50 : x
  2. Step 2: Convert to fraction form
    267,911/364,849.50 = 364,849.50/x
  3. Step 3: Cross multiply
    267,911x = 364,849.50 × 364,849.50
  4. Step 4: Simplify right side
    267,911x = 133,115,157,650.25
  5. Step 5: Solve for x
    x = 133,115,157,650.25/267,911
  6. Step 6: Final answer
    x = 496,863.35

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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.