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Finding the Third Proportional to 207,965 and 425,783

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Solution

The third proportional to 207,965 and 425,783 is: 871,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,965 : 425,783 = 425,783 : x
  2. Step 2: Convert to fraction form
    207,965/425,783 = 425,783/x
  3. Step 3: Cross multiply
    207,965x = 425,783 × 425,783
  4. Step 4: Simplify right side
    207,965x = 181,291,163,089
  5. Step 5: Solve for x
    x = 181,291,163,089/207,965
  6. Step 6: Final answer
    x = 871,738.82

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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.