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Finding the Third Proportional to 325,974.38 and 518,688.56

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Solution

The third proportional to 325,974.38 and 518,688.56 is: 825,334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,974.38 : 518,688.56 = 518,688.56 : x
  2. Step 2: Convert to fraction form
    325,974.38/518,688.56 = 518,688.56/x
  3. Step 3: Cross multiply
    325,974.38x = 518,688.56 × 518,688.56
  4. Step 4: Simplify right side
    325,974.38x = 269,037,824,868.32
  5. Step 5: Solve for x
    x = 269,037,824,868.32/325,974.38
  6. Step 6: Final answer
    x = 825,334.28

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Why These Related Problems?

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