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Finding the Third Proportional to 120,489 and 264,620

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Solution

The third proportional to 120,489 and 264,620 is: 581,162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,489 : 264,620 = 264,620 : x
  2. Step 2: Convert to fraction form
    120,489/264,620 = 264,620/x
  3. Step 3: Cross multiply
    120,489x = 264,620 × 264,620
  4. Step 4: Simplify right side
    120,489x = 70,023,744,400
  5. Step 5: Solve for x
    x = 70,023,744,400/120,489
  6. Step 6: Final answer
    x = 581,162.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.