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Finding the Third Proportional to 267,849.56 and 572,025.09

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Solution

The third proportional to 267,849.56 and 572,025.09 is: 1,221,628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,849.56 : 572,025.09 = 572,025.09 : x
  2. Step 2: Convert to fraction form
    267,849.56/572,025.09 = 572,025.09/x
  3. Step 3: Cross multiply
    267,849.56x = 572,025.09 × 572,025.09
  4. Step 4: Simplify right side
    267,849.56x = 327,212,707,879.70
  5. Step 5: Solve for x
    x = 327,212,707,879.70/267,849.56
  6. Step 6: Final answer
    x = 1,221,628.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.