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Finding the Third Proportional to 236,378 and 518,683

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Solution

The third proportional to 236,378 and 518,683 is: 1,138,143.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,378 : 518,683 = 518,683 : x
  2. Step 2: Convert to fraction form
    236,378/518,683 = 518,683/x
  3. Step 3: Cross multiply
    236,378x = 518,683 × 518,683
  4. Step 4: Simplify right side
    236,378x = 269,032,054,489
  5. Step 5: Solve for x
    x = 269,032,054,489/236,378
  6. Step 6: Final answer
    x = 1,138,143.37

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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.