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Finding the Third Proportional to 271,604 and 584,814

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Solution

The third proportional to 271,604 and 584,814 is: 1,259,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,604 : 584,814 = 584,814 : x
  2. Step 2: Convert to fraction form
    271,604/584,814 = 584,814/x
  3. Step 3: Cross multiply
    271,604x = 584,814 × 584,814
  4. Step 4: Simplify right side
    271,604x = 342,007,414,596
  5. Step 5: Solve for x
    x = 342,007,414,596/271,604
  6. Step 6: Final answer
    x = 1,259,213.47

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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.