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Finding the Third Proportional to 204,496 and 437,424

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Solution

The third proportional to 204,496 and 437,424 is: 935,665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,496 : 437,424 = 437,424 : x
  2. Step 2: Convert to fraction form
    204,496/437,424 = 437,424/x
  3. Step 3: Cross multiply
    204,496x = 437,424 × 437,424
  4. Step 4: Simplify right side
    204,496x = 191,339,755,776
  5. Step 5: Solve for x
    x = 191,339,755,776/204,496
  6. Step 6: Final answer
    x = 935,665.03

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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.