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Finding the Third Proportional to 207,982.69 and 425,822.06

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Solution

The third proportional to 207,982.69 and 425,822.06 is: 871,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,982.69 : 425,822.06 = 425,822.06 : x
  2. Step 2: Convert to fraction form
    207,982.69/425,822.06 = 425,822.06/x
  3. Step 3: Cross multiply
    207,982.69x = 425,822.06 × 425,822.06
  4. Step 4: Simplify right side
    207,982.69x = 181,324,428,911.75
  5. Step 5: Solve for x
    x = 181,324,428,911.75/207,982.69
  6. Step 6: Final answer
    x = 871,824.63

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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.