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Finding the Third Proportional to 268,276.92 and 568,538.72

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Solution

The third proportional to 268,276.92 and 568,538.72 is: 1,204,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,276.92 : 568,538.72 = 568,538.72 : x
  2. Step 2: Convert to fraction form
    268,276.92/568,538.72 = 568,538.72/x
  3. Step 3: Cross multiply
    268,276.92x = 568,538.72 × 568,538.72
  4. Step 4: Simplify right side
    268,276.92x = 323,236,274,717.89
  5. Step 5: Solve for x
    x = 323,236,274,717.89/268,276.92
  6. Step 6: Final answer
    x = 1,204,860.53

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.