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Finding the Third Proportional to 271,512 and 595,566

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Solution

The third proportional to 271,512 and 595,566 is: 1,306,383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,512 : 595,566 = 595,566 : x
  2. Step 2: Convert to fraction form
    271,512/595,566 = 595,566/x
  3. Step 3: Cross multiply
    271,512x = 595,566 × 595,566
  4. Step 4: Simplify right side
    271,512x = 354,698,860,356
  5. Step 5: Solve for x
    x = 354,698,860,356/271,512
  6. Step 6: Final answer
    x = 1,306,383.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.