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Finding the Third Proportional to 236,052 and 518,760

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Solution

The third proportional to 236,052 and 518,760 is: 1,140,053.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,052 : 518,760 = 518,760 : x
  2. Step 2: Convert to fraction form
    236,052/518,760 = 518,760/x
  3. Step 3: Cross multiply
    236,052x = 518,760 × 518,760
  4. Step 4: Simplify right side
    236,052x = 269,111,937,600
  5. Step 5: Solve for x
    x = 269,111,937,600/236,052
  6. Step 6: Final answer
    x = 1,140,053.62

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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.