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Finding the Third Proportional to 236,293 and 518,516

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Solution

The third proportional to 236,293 and 518,516 is: 1,137,819.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,293 : 518,516 = 518,516 : x
  2. Step 2: Convert to fraction form
    236,293/518,516 = 518,516/x
  3. Step 3: Cross multiply
    236,293x = 518,516 × 518,516
  4. Step 4: Simplify right side
    236,293x = 268,858,842,256
  5. Step 5: Solve for x
    x = 268,858,842,256/236,293
  6. Step 6: Final answer
    x = 1,137,819.75

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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.