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Finding the Third Proportional to 204,633 and 482,380

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Solution

The third proportional to 204,633 and 482,380 is: 1,137,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,633 : 482,380 = 482,380 : x
  2. Step 2: Convert to fraction form
    204,633/482,380 = 482,380/x
  3. Step 3: Cross multiply
    204,633x = 482,380 × 482,380
  4. Step 4: Simplify right side
    204,633x = 232,690,464,400
  5. Step 5: Solve for x
    x = 232,690,464,400/204,633
  6. Step 6: Final answer
    x = 1,137,111.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.