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Finding the Third Proportional to 260,082 and 408,094

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Solution

The third proportional to 260,082 and 408,094 is: 640,339.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,082 : 408,094 = 408,094 : x
  2. Step 2: Convert to fraction form
    260,082/408,094 = 408,094/x
  3. Step 3: Cross multiply
    260,082x = 408,094 × 408,094
  4. Step 4: Simplify right side
    260,082x = 166,540,712,836
  5. Step 5: Solve for x
    x = 166,540,712,836/260,082
  6. Step 6: Final answer
    x = 640,339.25

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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.