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Finding the Third Proportional to 327,223 and 684,090

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Solution

The third proportional to 327,223 and 684,090 is: 1,430,153.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,223 : 684,090 = 684,090 : x
  2. Step 2: Convert to fraction form
    327,223/684,090 = 684,090/x
  3. Step 3: Cross multiply
    327,223x = 684,090 × 684,090
  4. Step 4: Simplify right side
    327,223x = 467,979,128,100
  5. Step 5: Solve for x
    x = 467,979,128,100/327,223
  6. Step 6: Final answer
    x = 1,430,153.53

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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.