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Finding the Third Proportional to 293,243.63 and 638,975.25

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Solution

The third proportional to 293,243.63 and 638,975.25 is: 1,392,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,243.63 : 638,975.25 = 638,975.25 : x
  2. Step 2: Convert to fraction form
    293,243.63/638,975.25 = 638,975.25/x
  3. Step 3: Cross multiply
    293,243.63x = 638,975.25 × 638,975.25
  4. Step 4: Simplify right side
    293,243.63x = 408,289,370,112.56
  5. Step 5: Solve for x
    x = 408,289,370,112.56/293,243.63
  6. Step 6: Final answer
    x = 1,392,321.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.