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Finding the Third Proportional to 199,829 and 436,266

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Solution

The third proportional to 199,829 and 436,266 is: 952,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,829 : 436,266 = 436,266 : x
  2. Step 2: Convert to fraction form
    199,829/436,266 = 436,266/x
  3. Step 3: Cross multiply
    199,829x = 436,266 × 436,266
  4. Step 4: Simplify right side
    199,829x = 190,328,022,756
  5. Step 5: Solve for x
    x = 190,328,022,756/199,829
  6. Step 6: Final answer
    x = 952,454.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.