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Finding the Third Proportional to 271,014 and 408,520

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Solution

The third proportional to 271,014 and 408,520 is: 615,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,014 : 408,520 = 408,520 : x
  2. Step 2: Convert to fraction form
    271,014/408,520 = 408,520/x
  3. Step 3: Cross multiply
    271,014x = 408,520 × 408,520
  4. Step 4: Simplify right side
    271,014x = 166,888,590,400
  5. Step 5: Solve for x
    x = 166,888,590,400/271,014
  6. Step 6: Final answer
    x = 615,793.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.