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Finding the Third Proportional to 271,660 and 593,804

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Solution

The third proportional to 271,660 and 593,804 is: 1,297,957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,660 : 593,804 = 593,804 : x
  2. Step 2: Convert to fraction form
    271,660/593,804 = 593,804/x
  3. Step 3: Cross multiply
    271,660x = 593,804 × 593,804
  4. Step 4: Simplify right side
    271,660x = 352,603,190,416
  5. Step 5: Solve for x
    x = 352,603,190,416/271,660
  6. Step 6: Final answer
    x = 1,297,957.71

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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.