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Finding the Third Proportional to 325,867 and 492,081

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Solution

The third proportional to 325,867 and 492,081 is: 743,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,867 : 492,081 = 492,081 : x
  2. Step 2: Convert to fraction form
    325,867/492,081 = 492,081/x
  3. Step 3: Cross multiply
    325,867x = 492,081 × 492,081
  4. Step 4: Simplify right side
    325,867x = 242,143,710,561
  5. Step 5: Solve for x
    x = 242,143,710,561/325,867
  6. Step 6: Final answer
    x = 743,075.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.