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Finding the Third Proportional to 327,161.53 and 684,120.94

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Solution

The third proportional to 327,161.53 and 684,120.94 is: 1,430,551.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,161.53 : 684,120.94 = 684,120.94 : x
  2. Step 2: Convert to fraction form
    327,161.53/684,120.94 = 684,120.94/x
  3. Step 3: Cross multiply
    327,161.53x = 684,120.94 × 684,120.94
  4. Step 4: Simplify right side
    327,161.53x = 468,021,457,125.88
  5. Step 5: Solve for x
    x = 468,021,457,125.88/327,161.53
  6. Step 6: Final answer
    x = 1,430,551.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.