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Finding the Third Proportional to 393,643.13 and 826,944.75

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Solution

The third proportional to 393,643.13 and 826,944.75 is: 1,737,201.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,643.13 : 826,944.75 = 826,944.75 : x
  2. Step 2: Convert to fraction form
    393,643.13/826,944.75 = 826,944.75/x
  3. Step 3: Cross multiply
    393,643.13x = 826,944.75 × 826,944.75
  4. Step 4: Simplify right side
    393,643.13x = 683,837,619,552.56
  5. Step 5: Solve for x
    x = 683,837,619,552.56/393,643.13
  6. Step 6: Final answer
    x = 1,737,201.99

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.