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Finding the Third Proportional to 252,650.81 and 547,794.56

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Solution

The third proportional to 252,650.81 and 547,794.56 is: 1,187,721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,650.81 : 547,794.56 = 547,794.56 : x
  2. Step 2: Convert to fraction form
    252,650.81/547,794.56 = 547,794.56/x
  3. Step 3: Cross multiply
    252,650.81x = 547,794.56 × 547,794.56
  4. Step 4: Simplify right side
    252,650.81x = 300,078,882,704.57
  5. Step 5: Solve for x
    x = 300,078,882,704.57/252,650.81
  6. Step 6: Final answer
    x = 1,187,721.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.