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Finding the Third Proportional to 236,736 and 508,608

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Solution

The third proportional to 236,736 and 508,608 is: 1,092,702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,736 : 508,608 = 508,608 : x
  2. Step 2: Convert to fraction form
    236,736/508,608 = 508,608/x
  3. Step 3: Cross multiply
    236,736x = 508,608 × 508,608
  4. Step 4: Simplify right side
    236,736x = 258,682,097,664
  5. Step 5: Solve for x
    x = 258,682,097,664/236,736
  6. Step 6: Final answer
    x = 1,092,702.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.