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Finding the Third Proportional to 271,966 and 382,312

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Solution

The third proportional to 271,966 and 382,312 is: 537,429.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,966 : 382,312 = 382,312 : x
  2. Step 2: Convert to fraction form
    271,966/382,312 = 382,312/x
  3. Step 3: Cross multiply
    271,966x = 382,312 × 382,312
  4. Step 4: Simplify right side
    271,966x = 146,162,465,344
  5. Step 5: Solve for x
    x = 146,162,465,344/271,966
  6. Step 6: Final answer
    x = 537,429.18

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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.