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Finding the Third Proportional to 352,095.75 and 733,974.75

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Solution

The third proportional to 352,095.75 and 733,974.75 is: 1,530,035.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,095.75 : 733,974.75 = 733,974.75 : x
  2. Step 2: Convert to fraction form
    352,095.75/733,974.75 = 733,974.75/x
  3. Step 3: Cross multiply
    352,095.75x = 733,974.75 × 733,974.75
  4. Step 4: Simplify right side
    352,095.75x = 538,718,933,637.56
  5. Step 5: Solve for x
    x = 538,718,933,637.56/352,095.75
  6. Step 6: Final answer
    x = 1,530,035.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.