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Finding the Third Proportional to 199,797 and 425,019

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Solution

The third proportional to 199,797 and 425,019 is: 904,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,797 : 425,019 = 425,019 : x
  2. Step 2: Convert to fraction form
    199,797/425,019 = 425,019/x
  3. Step 3: Cross multiply
    199,797x = 425,019 × 425,019
  4. Step 4: Simplify right side
    199,797x = 180,641,150,361
  5. Step 5: Solve for x
    x = 180,641,150,361/199,797
  6. Step 6: Final answer
    x = 904,123.44

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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.