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Finding the Third Proportional to 207,965 and 425,785

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Solution

The third proportional to 207,965 and 425,785 is: 871,747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,965 : 425,785 = 425,785 : x
  2. Step 2: Convert to fraction form
    207,965/425,785 = 425,785/x
  3. Step 3: Cross multiply
    207,965x = 425,785 × 425,785
  4. Step 4: Simplify right side
    207,965x = 181,292,866,225
  5. Step 5: Solve for x
    x = 181,292,866,225/207,965
  6. Step 6: Final answer
    x = 871,747.01

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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.