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Finding the Third Proportional to 325,422.56 and 700,796.81

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Solution

The third proportional to 325,422.56 and 700,796.81 is: 1,509,164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,422.56 : 700,796.81 = 700,796.81 : x
  2. Step 2: Convert to fraction form
    325,422.56/700,796.81 = 700,796.81/x
  3. Step 3: Cross multiply
    325,422.56x = 700,796.81 × 700,796.81
  4. Step 4: Simplify right side
    325,422.56x = 491,116,172,410.16
  5. Step 5: Solve for x
    x = 491,116,172,410.16/325,422.56
  6. Step 6: Final answer
    x = 1,509,164.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.