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Finding the Third Proportional to 241,722.94 and 512,260.22

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Solution

The third proportional to 241,722.94 and 512,260.22 is: 1,085,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,722.94 : 512,260.22 = 512,260.22 : x
  2. Step 2: Convert to fraction form
    241,722.94/512,260.22 = 512,260.22/x
  3. Step 3: Cross multiply
    241,722.94x = 512,260.22 × 512,260.22
  4. Step 4: Simplify right side
    241,722.94x = 262,410,531,713.80
  5. Step 5: Solve for x
    x = 262,410,531,713.80/241,722.94
  6. Step 6: Final answer
    x = 1,085,583.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.