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Finding the Third Proportional to 271,476 and 584,571

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Solution

The third proportional to 271,476 and 584,571 is: 1,258,760.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,476 : 584,571 = 584,571 : x
  2. Step 2: Convert to fraction form
    271,476/584,571 = 584,571/x
  3. Step 3: Cross multiply
    271,476x = 584,571 × 584,571
  4. Step 4: Simplify right side
    271,476x = 341,723,254,041
  5. Step 5: Solve for x
    x = 341,723,254,041/271,476
  6. Step 6: Final answer
    x = 1,258,760.46

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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.