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Finding the Third Proportional to 204,517 and 437,462

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Solution

The third proportional to 204,517 and 437,462 is: 935,731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,517 : 437,462 = 437,462 : x
  2. Step 2: Convert to fraction form
    204,517/437,462 = 437,462/x
  3. Step 3: Cross multiply
    204,517x = 437,462 × 437,462
  4. Step 4: Simplify right side
    204,517x = 191,373,001,444
  5. Step 5: Solve for x
    x = 191,373,001,444/204,517
  6. Step 6: Final answer
    x = 935,731.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.