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Finding the Third Proportional to 203,492 and 436,509

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Solution

The third proportional to 203,492 and 436,509 is: 936,351.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,492 : 436,509 = 436,509 : x
  2. Step 2: Convert to fraction form
    203,492/436,509 = 436,509/x
  3. Step 3: Cross multiply
    203,492x = 436,509 × 436,509
  4. Step 4: Simplify right side
    203,492x = 190,540,107,081
  5. Step 5: Solve for x
    x = 190,540,107,081/203,492
  6. Step 6: Final answer
    x = 936,351.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.