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Finding the Third Proportional to 203,705 and 438,616

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Solution

The third proportional to 203,705 and 438,616 is: 944,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,705 : 438,616 = 438,616 : x
  2. Step 2: Convert to fraction form
    203,705/438,616 = 438,616/x
  3. Step 3: Cross multiply
    203,705x = 438,616 × 438,616
  4. Step 4: Simplify right side
    203,705x = 192,383,995,456
  5. Step 5: Solve for x
    x = 192,383,995,456/203,705
  6. Step 6: Final answer
    x = 944,424.51

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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.