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Finding the Third Proportional to 260,048 and 412,622

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Solution

The third proportional to 260,048 and 412,622 is: 654,713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,048 : 412,622 = 412,622 : x
  2. Step 2: Convert to fraction form
    260,048/412,622 = 412,622/x
  3. Step 3: Cross multiply
    260,048x = 412,622 × 412,622
  4. Step 4: Simplify right side
    260,048x = 170,256,914,884
  5. Step 5: Solve for x
    x = 170,256,914,884/260,048
  6. Step 6: Final answer
    x = 654,713.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.