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Finding the Third Proportional to 271,414 and 573,448

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Solution

The third proportional to 271,414 and 573,448 is: 1,211,590.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,414 : 573,448 = 573,448 : x
  2. Step 2: Convert to fraction form
    271,414/573,448 = 573,448/x
  3. Step 3: Cross multiply
    271,414x = 573,448 × 573,448
  4. Step 4: Simplify right side
    271,414x = 328,842,608,704
  5. Step 5: Solve for x
    x = 328,842,608,704/271,414
  6. Step 6: Final answer
    x = 1,211,590.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.