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Finding the Third Proportional to 271,974 and 382,324

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Solution

The third proportional to 271,974 and 382,324 is: 537,447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,974 : 382,324 = 382,324 : x
  2. Step 2: Convert to fraction form
    271,974/382,324 = 382,324/x
  3. Step 3: Cross multiply
    271,974x = 382,324 × 382,324
  4. Step 4: Simplify right side
    271,974x = 146,171,640,976
  5. Step 5: Solve for x
    x = 146,171,640,976/271,974
  6. Step 6: Final answer
    x = 537,447.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.