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Finding the Third Proportional to 271,660 and 584,972

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Solution

The third proportional to 271,660 and 584,972 is: 1,259,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,660 : 584,972 = 584,972 : x
  2. Step 2: Convert to fraction form
    271,660/584,972 = 584,972/x
  3. Step 3: Cross multiply
    271,660x = 584,972 × 584,972
  4. Step 4: Simplify right side
    271,660x = 342,192,240,784
  5. Step 5: Solve for x
    x = 342,192,240,784/271,660
  6. Step 6: Final answer
    x = 1,259,634.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.