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Finding the Third Proportional to 203,598 and 438,751

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Solution

The third proportional to 203,598 and 438,751 is: 945,502.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,598 : 438,751 = 438,751 : x
  2. Step 2: Convert to fraction form
    203,598/438,751 = 438,751/x
  3. Step 3: Cross multiply
    203,598x = 438,751 × 438,751
  4. Step 4: Simplify right side
    203,598x = 192,502,440,001
  5. Step 5: Solve for x
    x = 192,502,440,001/203,598
  6. Step 6: Final answer
    x = 945,502.61

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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.