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Finding the Third Proportional to 199,864 and 425,622

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Solution

The third proportional to 199,864 and 425,622 is: 906,386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,864 : 425,622 = 425,622 : x
  2. Step 2: Convert to fraction form
    199,864/425,622 = 425,622/x
  3. Step 3: Cross multiply
    199,864x = 425,622 × 425,622
  4. Step 4: Simplify right side
    199,864x = 181,154,086,884
  5. Step 5: Solve for x
    x = 181,154,086,884/199,864
  6. Step 6: Final answer
    x = 906,386.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.