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Finding the Third Proportional to 199,801 and 418,069

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Solution

The third proportional to 199,801 and 418,069 is: 874,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,801 : 418,069 = 418,069 : x
  2. Step 2: Convert to fraction form
    199,801/418,069 = 418,069/x
  3. Step 3: Cross multiply
    199,801x = 418,069 × 418,069
  4. Step 4: Simplify right side
    199,801x = 174,781,688,761
  5. Step 5: Solve for x
    x = 174,781,688,761/199,801
  6. Step 6: Final answer
    x = 874,778.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.