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Finding the Third Proportional to 203,599 and 443,341

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Solution

The third proportional to 203,599 and 443,341 is: 965,384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,599 : 443,341 = 443,341 : x
  2. Step 2: Convert to fraction form
    203,599/443,341 = 443,341/x
  3. Step 3: Cross multiply
    203,599x = 443,341 × 443,341
  4. Step 4: Simplify right side
    203,599x = 196,551,242,281
  5. Step 5: Solve for x
    x = 196,551,242,281/203,599
  6. Step 6: Final answer
    x = 965,384.12

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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.