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Finding the Third Proportional to 271,974 and 382,320

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Solution

The third proportional to 271,974 and 382,320 is: 537,435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,974 : 382,320 = 382,320 : x
  2. Step 2: Convert to fraction form
    271,974/382,320 = 382,320/x
  3. Step 3: Cross multiply
    271,974x = 382,320 × 382,320
  4. Step 4: Simplify right side
    271,974x = 146,168,582,400
  5. Step 5: Solve for x
    x = 146,168,582,400/271,974
  6. Step 6: Final answer
    x = 537,435.87

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