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Finding the Third Proportional to 210,791.25 and 460,388.25

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Solution

The third proportional to 210,791.25 and 460,388.25 is: 1,005,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,791.25 : 460,388.25 = 460,388.25 : x
  2. Step 2: Convert to fraction form
    210,791.25/460,388.25 = 460,388.25/x
  3. Step 3: Cross multiply
    210,791.25x = 460,388.25 × 460,388.25
  4. Step 4: Simplify right side
    210,791.25x = 211,957,340,738.06
  5. Step 5: Solve for x
    x = 211,957,340,738.06/210,791.25
  6. Step 6: Final answer
    x = 1,005,531.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.