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Finding the Third Proportional to 325,966 and 518,650

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Solution

The third proportional to 325,966 and 518,650 is: 825,232.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,966 : 518,650 = 518,650 : x
  2. Step 2: Convert to fraction form
    325,966/518,650 = 518,650/x
  3. Step 3: Cross multiply
    325,966x = 518,650 × 518,650
  4. Step 4: Simplify right side
    325,966x = 268,997,822,500
  5. Step 5: Solve for x
    x = 268,997,822,500/325,966
  6. Step 6: Final answer
    x = 825,232.76

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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.