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Finding the Third Proportional to 325,848.94 and 681,491.81

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Solution

The third proportional to 325,848.94 and 681,491.81 is: 1,425,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,848.94 : 681,491.81 = 681,491.81 : x
  2. Step 2: Convert to fraction form
    325,848.94/681,491.81 = 681,491.81/x
  3. Step 3: Cross multiply
    325,848.94x = 681,491.81 × 681,491.81
  4. Step 4: Simplify right side
    325,848.94x = 464,431,090,504.54
  5. Step 5: Solve for x
    x = 464,431,090,504.54/325,848.94
  6. Step 6: Final answer
    x = 1,425,295.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.