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Finding the Third Proportional to 325,297.69 and 704,890.69

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Solution

The third proportional to 325,297.69 and 704,890.69 is: 1,527,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,297.69 : 704,890.69 = 704,890.69 : x
  2. Step 2: Convert to fraction form
    325,297.69/704,890.69 = 704,890.69/x
  3. Step 3: Cross multiply
    325,297.69x = 704,890.69 × 704,890.69
  4. Step 4: Simplify right side
    325,297.69x = 496,870,881,324.22
  5. Step 5: Solve for x
    x = 496,870,881,324.22/325,297.69
  6. Step 6: Final answer
    x = 1,527,434.41

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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.