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Finding the Third Proportional to 203,700 and 443,832

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Solution

The third proportional to 203,700 and 443,832 is: 967,043.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,700 : 443,832 = 443,832 : x
  2. Step 2: Convert to fraction form
    203,700/443,832 = 443,832/x
  3. Step 3: Cross multiply
    203,700x = 443,832 × 443,832
  4. Step 4: Simplify right side
    203,700x = 196,986,844,224
  5. Step 5: Solve for x
    x = 196,986,844,224/203,700
  6. Step 6: Final answer
    x = 967,043.91

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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.