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Finding the Third Proportional to 325,976 and 518,692

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Solution

The third proportional to 325,976 and 518,692 is: 825,341.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,976 : 518,692 = 518,692 : x
  2. Step 2: Convert to fraction form
    325,976/518,692 = 518,692/x
  3. Step 3: Cross multiply
    325,976x = 518,692 × 518,692
  4. Step 4: Simplify right side
    325,976x = 269,041,390,864
  5. Step 5: Solve for x
    x = 269,041,390,864/325,976
  6. Step 6: Final answer
    x = 825,341.10

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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.