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Finding the Third Proportional to 325,316.25 and 704,924.02

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Solution

The third proportional to 325,316.25 and 704,924.02 is: 1,527,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,316.25 : 704,924.02 = 704,924.02 : x
  2. Step 2: Convert to fraction form
    325,316.25/704,924.02 = 704,924.02/x
  3. Step 3: Cross multiply
    325,316.25x = 704,924.02 × 704,924.02
  4. Step 4: Simplify right side
    325,316.25x = 496,917,867,804.88
  5. Step 5: Solve for x
    x = 496,917,867,804.88/325,316.25
  6. Step 6: Final answer
    x = 1,527,491.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.