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Finding the Third Proportional to 260,084 and 408,096

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Solution

The third proportional to 260,084 and 408,096 is: 640,340.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,084 : 408,096 = 408,096 : x
  2. Step 2: Convert to fraction form
    260,084/408,096 = 408,096/x
  3. Step 3: Cross multiply
    260,084x = 408,096 × 408,096
  4. Step 4: Simplify right side
    260,084x = 166,542,345,216
  5. Step 5: Solve for x
    x = 166,542,345,216/260,084
  6. Step 6: Final answer
    x = 640,340.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.