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Finding the Third Proportional to 236,339 and 518,599

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Solution

The third proportional to 236,339 and 518,599 is: 1,137,962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,339 : 518,599 = 518,599 : x
  2. Step 2: Convert to fraction form
    236,339/518,599 = 518,599/x
  3. Step 3: Cross multiply
    236,339x = 518,599 × 518,599
  4. Step 4: Simplify right side
    236,339x = 268,944,922,801
  5. Step 5: Solve for x
    x = 268,944,922,801/236,339
  6. Step 6: Final answer
    x = 1,137,962.51

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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.