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Finding the Third Proportional to 207,832 and 322,441

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Solution

The third proportional to 207,832 and 322,441 is: 500,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,832 : 322,441 = 322,441 : x
  2. Step 2: Convert to fraction form
    207,832/322,441 = 322,441/x
  3. Step 3: Cross multiply
    207,832x = 322,441 × 322,441
  4. Step 4: Simplify right side
    207,832x = 103,968,198,481
  5. Step 5: Solve for x
    x = 103,968,198,481/207,832
  6. Step 6: Final answer
    x = 500,251.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.