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Finding the Third Proportional to 236,326 and 518,588

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Solution

The third proportional to 236,326 and 518,588 is: 1,137,976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,326 : 518,588 = 518,588 : x
  2. Step 2: Convert to fraction form
    236,326/518,588 = 518,588/x
  3. Step 3: Cross multiply
    236,326x = 518,588 × 518,588
  4. Step 4: Simplify right side
    236,326x = 268,933,513,744
  5. Step 5: Solve for x
    x = 268,933,513,744/236,326
  6. Step 6: Final answer
    x = 1,137,976.84

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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.