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Finding the Third Proportional to 327,218.63 and 684,082.13

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Solution

The third proportional to 327,218.63 and 684,082.13 is: 1,430,139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,218.63 : 684,082.13 = 684,082.13 : x
  2. Step 2: Convert to fraction form
    327,218.63/684,082.13 = 684,082.13/x
  3. Step 3: Cross multiply
    327,218.63x = 684,082.13 × 684,082.13
  4. Step 4: Simplify right side
    327,218.63x = 467,968,353,744.52
  5. Step 5: Solve for x
    x = 467,968,353,744.52/327,218.63
  6. Step 6: Final answer
    x = 1,430,139.72

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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.