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Finding the Third Proportional to 199,483 and 432,874

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Solution

The third proportional to 199,483 and 432,874 is: 939,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,483 : 432,874 = 432,874 : x
  2. Step 2: Convert to fraction form
    199,483/432,874 = 432,874/x
  3. Step 3: Cross multiply
    199,483x = 432,874 × 432,874
  4. Step 4: Simplify right side
    199,483x = 187,379,899,876
  5. Step 5: Solve for x
    x = 187,379,899,876/199,483
  6. Step 6: Final answer
    x = 939,327.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.