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Finding the Third Proportional to 236,469.94 and 518,927.63

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Solution

The third proportional to 236,469.94 and 518,927.63 is: 1,138,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,469.94 : 518,927.63 = 518,927.63 : x
  2. Step 2: Convert to fraction form
    236,469.94/518,927.63 = 518,927.63/x
  3. Step 3: Cross multiply
    236,469.94x = 518,927.63 × 518,927.63
  4. Step 4: Simplify right side
    236,469.94x = 269,285,879,988.14
  5. Step 5: Solve for x
    x = 269,285,879,988.14/236,469.94
  6. Step 6: Final answer
    x = 1,138,774.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.