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Finding the Third Proportional to 207,984.94 and 425,826.56

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Solution

The third proportional to 207,984.94 and 425,826.56 is: 871,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,984.94 : 425,826.56 = 425,826.56 : x
  2. Step 2: Convert to fraction form
    207,984.94/425,826.56 = 425,826.56/x
  3. Step 3: Cross multiply
    207,984.94x = 425,826.56 × 425,826.56
  4. Step 4: Simplify right side
    207,984.94x = 181,328,261,330.57
  5. Step 5: Solve for x
    x = 181,328,261,330.57/207,984.94
  6. Step 6: Final answer
    x = 871,833.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.