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Finding the Third Proportional to 204,519 and 437,466

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Solution

The third proportional to 204,519 and 437,466 is: 935,739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,519 : 437,466 = 437,466 : x
  2. Step 2: Convert to fraction form
    204,519/437,466 = 437,466/x
  3. Step 3: Cross multiply
    204,519x = 437,466 × 437,466
  4. Step 4: Simplify right side
    204,519x = 191,376,501,156
  5. Step 5: Solve for x
    x = 191,376,501,156/204,519
  6. Step 6: Final answer
    x = 935,739.47

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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.