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Finding the Third Proportional to 271,646 and 593,775

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Solution

The third proportional to 271,646 and 593,775 is: 1,297,897.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,646 : 593,775 = 593,775 : x
  2. Step 2: Convert to fraction form
    271,646/593,775 = 593,775/x
  3. Step 3: Cross multiply
    271,646x = 593,775 × 593,775
  4. Step 4: Simplify right side
    271,646x = 352,568,750,625
  5. Step 5: Solve for x
    x = 352,568,750,625/271,646
  6. Step 6: Final answer
    x = 1,297,897.82

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