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Finding the Third Proportional to 236,464 and 518,916

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Solution

The third proportional to 236,464 and 518,916 is: 1,138,751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,464 : 518,916 = 518,916 : x
  2. Step 2: Convert to fraction form
    236,464/518,916 = 518,916/x
  3. Step 3: Cross multiply
    236,464x = 518,916 × 518,916
  4. Step 4: Simplify right side
    236,464x = 269,273,815,056
  5. Step 5: Solve for x
    x = 269,273,815,056/236,464
  6. Step 6: Final answer
    x = 1,138,751.84

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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.