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Finding the Third Proportional to 236,628.06 and 513,180.69

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Solution

The third proportional to 236,628.06 and 513,180.69 is: 1,112,946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,628.06 : 513,180.69 = 513,180.69 : x
  2. Step 2: Convert to fraction form
    236,628.06/513,180.69 = 513,180.69/x
  3. Step 3: Cross multiply
    236,628.06x = 513,180.69 × 513,180.69
  4. Step 4: Simplify right side
    236,628.06x = 263,354,418,022.97
  5. Step 5: Solve for x
    x = 263,354,418,022.97/236,628.06
  6. Step 6: Final answer
    x = 1,112,946.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.