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Finding the Third Proportional to 271,606 and 584,818

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Solution

The third proportional to 271,606 and 584,818 is: 1,259,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,606 : 584,818 = 584,818 : x
  2. Step 2: Convert to fraction form
    271,606/584,818 = 584,818/x
  3. Step 3: Cross multiply
    271,606x = 584,818 × 584,818
  4. Step 4: Simplify right side
    271,606x = 342,012,093,124
  5. Step 5: Solve for x
    x = 342,012,093,124/271,606
  6. Step 6: Final answer
    x = 1,259,221.42

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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.