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Finding the Third Proportional to 236,040 and 518,736

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Solution

The third proportional to 236,040 and 518,736 is: 1,140,006.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,040 : 518,736 = 518,736 : x
  2. Step 2: Convert to fraction form
    236,040/518,736 = 518,736/x
  3. Step 3: Cross multiply
    236,040x = 518,736 × 518,736
  4. Step 4: Simplify right side
    236,040x = 269,087,037,696
  5. Step 5: Solve for x
    x = 269,087,037,696/236,040
  6. Step 6: Final answer
    x = 1,140,006.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.