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Finding the Third Proportional to 322,884 and 451,410

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Solution

The third proportional to 322,884 and 451,410 is: 631,096.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,884 : 451,410 = 451,410 : x
  2. Step 2: Convert to fraction form
    322,884/451,410 = 451,410/x
  3. Step 3: Cross multiply
    322,884x = 451,410 × 451,410
  4. Step 4: Simplify right side
    322,884x = 203,770,988,100
  5. Step 5: Solve for x
    x = 203,770,988,100/322,884
  6. Step 6: Final answer
    x = 631,096.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.