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Finding the Third Proportional to 325,863 and 682,875.56

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Solution

The third proportional to 325,863 and 682,875.56 is: 1,431,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,863 : 682,875.56 = 682,875.56 : x
  2. Step 2: Convert to fraction form
    325,863/682,875.56 = 682,875.56/x
  3. Step 3: Cross multiply
    325,863x = 682,875.56 × 682,875.56
  4. Step 4: Simplify right side
    325,863x = 466,319,033,859.69
  5. Step 5: Solve for x
    x = 466,319,033,859.69/325,863
  6. Step 6: Final answer
    x = 1,431,027.87

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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.