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Finding the Third Proportional to 336,668 and 720,626

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Solution

The third proportional to 336,668 and 720,626 is: 1,542,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,668 : 720,626 = 720,626 : x
  2. Step 2: Convert to fraction form
    336,668/720,626 = 720,626/x
  3. Step 3: Cross multiply
    336,668x = 720,626 × 720,626
  4. Step 4: Simplify right side
    336,668x = 519,301,831,876
  5. Step 5: Solve for x
    x = 519,301,831,876/336,668
  6. Step 6: Final answer
    x = 1,542,474.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.