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Finding the Third Proportional to 199,816 and 436,448

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Solution

The third proportional to 199,816 and 436,448 is: 953,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,816 : 436,448 = 436,448 : x
  2. Step 2: Convert to fraction form
    199,816/436,448 = 436,448/x
  3. Step 3: Cross multiply
    199,816x = 436,448 × 436,448
  4. Step 4: Simplify right side
    199,816x = 190,486,856,704
  5. Step 5: Solve for x
    x = 190,486,856,704/199,816
  6. Step 6: Final answer
    x = 953,311.33

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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.