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Finding the Third Proportional to 214,976 and 322,427

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Solution

The third proportional to 214,976 and 322,427 is: 483,585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,976 : 322,427 = 322,427 : x
  2. Step 2: Convert to fraction form
    214,976/322,427 = 322,427/x
  3. Step 3: Cross multiply
    214,976x = 322,427 × 322,427
  4. Step 4: Simplify right side
    214,976x = 103,959,170,329
  5. Step 5: Solve for x
    x = 103,959,170,329/214,976
  6. Step 6: Final answer
    x = 483,585.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.