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Finding the Third Proportional to 199,488 and 436,512

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Solution

The third proportional to 199,488 and 436,512 is: 955,158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,488 : 436,512 = 436,512 : x
  2. Step 2: Convert to fraction form
    199,488/436,512 = 436,512/x
  3. Step 3: Cross multiply
    199,488x = 436,512 × 436,512
  4. Step 4: Simplify right side
    199,488x = 190,542,726,144
  5. Step 5: Solve for x
    x = 190,542,726,144/199,488
  6. Step 6: Final answer
    x = 955,158.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.