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Finding the Third Proportional to 336.75 and 726.69

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Solution

The third proportional to 336.75 and 726.69 is: 1,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.75 : 726.69 = 726.69 : x
  2. Step 2: Convert to fraction form
    336.75/726.69 = 726.69/x
  3. Step 3: Cross multiply
    336.75x = 726.69 × 726.69
  4. Step 4: Simplify right side
    336.75x = 528,074.72
  5. Step 5: Solve for x
    x = 528,074.72/336.75
  6. Step 6: Final answer
    x = 1,568.15

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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.