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Finding the Third Proportional to 203,493 and 436,510

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Solution

The third proportional to 203,493 and 436,510 is: 936,351.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,493 : 436,510 = 436,510 : x
  2. Step 2: Convert to fraction form
    203,493/436,510 = 436,510/x
  3. Step 3: Cross multiply
    203,493x = 436,510 × 436,510
  4. Step 4: Simplify right side
    203,493x = 190,540,980,100
  5. Step 5: Solve for x
    x = 190,540,980,100/203,493
  6. Step 6: Final answer
    x = 936,351.52

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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.