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Finding the Third Proportional to 271,600 and 584,812

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Solution

The third proportional to 271,600 and 584,812 is: 1,259,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,600 : 584,812 = 584,812 : x
  2. Step 2: Convert to fraction form
    271,600/584,812 = 584,812/x
  3. Step 3: Cross multiply
    271,600x = 584,812 × 584,812
  4. Step 4: Simplify right side
    271,600x = 342,005,075,344
  5. Step 5: Solve for x
    x = 342,005,075,344/271,600
  6. Step 6: Final answer
    x = 1,259,223.40

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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.