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Finding the Third Proportional to 203,454 and 443,349

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Solution

The third proportional to 203,454 and 443,349 is: 966,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,454 : 443,349 = 443,349 : x
  2. Step 2: Convert to fraction form
    203,454/443,349 = 443,349/x
  3. Step 3: Cross multiply
    203,454x = 443,349 × 443,349
  4. Step 4: Simplify right side
    203,454x = 196,558,335,801
  5. Step 5: Solve for x
    x = 196,558,335,801/203,454
  6. Step 6: Final answer
    x = 966,107.01

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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.