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Finding the Third Proportional to 205,029 and 443,745

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Solution

The third proportional to 205,029 and 443,745 is: 960,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,029 : 443,745 = 443,745 : x
  2. Step 2: Convert to fraction form
    205,029/443,745 = 443,745/x
  3. Step 3: Cross multiply
    205,029x = 443,745 × 443,745
  4. Step 4: Simplify right side
    205,029x = 196,909,625,025
  5. Step 5: Solve for x
    x = 196,909,625,025/205,029
  6. Step 6: Final answer
    x = 960,398.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.