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Finding the Third Proportional to 325,984 and 518,703

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Solution

The third proportional to 325,984 and 518,703 is: 825,355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,984 : 518,703 = 518,703 : x
  2. Step 2: Convert to fraction form
    325,984/518,703 = 518,703/x
  3. Step 3: Cross multiply
    325,984x = 518,703 × 518,703
  4. Step 4: Simplify right side
    325,984x = 269,052,802,209
  5. Step 5: Solve for x
    x = 269,052,802,209/325,984
  6. Step 6: Final answer
    x = 825,355.85

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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.