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Finding the Third Proportional to 336,611.25 and 726,720.75

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Solution

The third proportional to 336,611.25 and 726,720.75 is: 1,568,940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,611.25 : 726,720.75 = 726,720.75 : x
  2. Step 2: Convert to fraction form
    336,611.25/726,720.75 = 726,720.75/x
  3. Step 3: Cross multiply
    336,611.25x = 726,720.75 × 726,720.75
  4. Step 4: Simplify right side
    336,611.25x = 528,123,048,480.56
  5. Step 5: Solve for x
    x = 528,123,048,480.56/336,611.25
  6. Step 6: Final answer
    x = 1,568,940.58

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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.