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Finding the Third Proportional to 342,713 and 742,626

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Solution

The third proportional to 342,713 and 742,626 is: 1,609,198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,713 : 742,626 = 742,626 : x
  2. Step 2: Convert to fraction form
    342,713/742,626 = 742,626/x
  3. Step 3: Cross multiply
    342,713x = 742,626 × 742,626
  4. Step 4: Simplify right side
    342,713x = 551,493,375,876
  5. Step 5: Solve for x
    x = 551,493,375,876/342,713
  6. Step 6: Final answer
    x = 1,609,198.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.