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Finding the Third Proportional to 323,696 and 490,042

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Solution

The third proportional to 323,696 and 490,042 is: 741,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,696 : 490,042 = 490,042 : x
  2. Step 2: Convert to fraction form
    323,696/490,042 = 490,042/x
  3. Step 3: Cross multiply
    323,696x = 490,042 × 490,042
  4. Step 4: Simplify right side
    323,696x = 240,141,161,764
  5. Step 5: Solve for x
    x = 240,141,161,764/323,696
  6. Step 6: Final answer
    x = 741,872.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.