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Finding the Third Proportional to 336,663 and 726,738

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Solution

The third proportional to 336,663 and 726,738 is: 1,568,773.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,663 : 726,738 = 726,738 : x
  2. Step 2: Convert to fraction form
    336,663/726,738 = 726,738/x
  3. Step 3: Cross multiply
    336,663x = 726,738 × 726,738
  4. Step 4: Simplify right side
    336,663x = 528,148,120,644
  5. Step 5: Solve for x
    x = 528,148,120,644/336,663
  6. Step 6: Final answer
    x = 1,568,773.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.