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Finding the Third Proportional to 207,967 and 425,789

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Solution

The third proportional to 207,967 and 425,789 is: 871,755.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,967 : 425,789 = 425,789 : x
  2. Step 2: Convert to fraction form
    207,967/425,789 = 425,789/x
  3. Step 3: Cross multiply
    207,967x = 425,789 × 425,789
  4. Step 4: Simplify right side
    207,967x = 181,296,272,521
  5. Step 5: Solve for x
    x = 181,296,272,521/207,967
  6. Step 6: Final answer
    x = 871,755.00

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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.