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Finding the Third Proportional to 327,060 and 724,068

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Solution

The third proportional to 327,060 and 724,068 is: 1,602,991.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,060 : 724,068 = 724,068 : x
  2. Step 2: Convert to fraction form
    327,060/724,068 = 724,068/x
  3. Step 3: Cross multiply
    327,060x = 724,068 × 724,068
  4. Step 4: Simplify right side
    327,060x = 524,274,468,624
  5. Step 5: Solve for x
    x = 524,274,468,624/327,060
  6. Step 6: Final answer
    x = 1,602,991.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.