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Finding the Third Proportional to 339,000 and 746,096

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Solution

The third proportional to 339,000 and 746,096 is: 1,642,062.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,000 : 746,096 = 746,096 : x
  2. Step 2: Convert to fraction form
    339,000/746,096 = 746,096/x
  3. Step 3: Cross multiply
    339,000x = 746,096 × 746,096
  4. Step 4: Simplify right side
    339,000x = 556,659,241,216
  5. Step 5: Solve for x
    x = 556,659,241,216/339,000
  6. Step 6: Final answer
    x = 1,642,062.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.