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Finding the Third Proportional to 381,858.75 and 794,736

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Solution

The third proportional to 381,858.75 and 794,736 is: 1,654,028.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,858.75 : 794,736 = 794,736 : x
  2. Step 2: Convert to fraction form
    381,858.75/794,736 = 794,736/x
  3. Step 3: Cross multiply
    381,858.75x = 794,736 × 794,736
  4. Step 4: Simplify right side
    381,858.75x = 631,605,309,696
  5. Step 5: Solve for x
    x = 631,605,309,696/381,858.75
  6. Step 6: Final answer
    x = 1,654,028.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.