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Finding the Third Proportional to 325,986 and 518,706

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Solution

The third proportional to 325,986 and 518,706 is: 825,360.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,986 : 518,706 = 518,706 : x
  2. Step 2: Convert to fraction form
    325,986/518,706 = 518,706/x
  3. Step 3: Cross multiply
    325,986x = 518,706 × 518,706
  4. Step 4: Simplify right side
    325,986x = 269,055,914,436
  5. Step 5: Solve for x
    x = 269,055,914,436/325,986
  6. Step 6: Final answer
    x = 825,360.34

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.