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Finding the Third Proportional to 271,998 and 382,356

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Solution

The third proportional to 271,998 and 382,356 is: 537,489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,998 : 382,356 = 382,356 : x
  2. Step 2: Convert to fraction form
    271,998/382,356 = 382,356/x
  3. Step 3: Cross multiply
    271,998x = 382,356 × 382,356
  4. Step 4: Simplify right side
    271,998x = 146,196,110,736
  5. Step 5: Solve for x
    x = 146,196,110,736/271,998
  6. Step 6: Final answer
    x = 537,489.65

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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.