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Finding the Third Proportional to 236,349 and 518,619

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Solution

The third proportional to 236,349 and 518,619 is: 1,138,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,349 : 518,619 = 518,619 : x
  2. Step 2: Convert to fraction form
    236,349/518,619 = 518,619/x
  3. Step 3: Cross multiply
    236,349x = 518,619 × 518,619
  4. Step 4: Simplify right side
    236,349x = 268,965,667,161
  5. Step 5: Solve for x
    x = 268,965,667,161/236,349
  6. Step 6: Final answer
    x = 1,138,002.14

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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.