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Finding the Third Proportional to 394,881.63 and 852,806.38

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Solution

The third proportional to 394,881.63 and 852,806.38 is: 1,841,763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,881.63 : 852,806.38 = 852,806.38 : x
  2. Step 2: Convert to fraction form
    394,881.63/852,806.38 = 852,806.38/x
  3. Step 3: Cross multiply
    394,881.63x = 852,806.38 × 852,806.38
  4. Step 4: Simplify right side
    394,881.63x = 727,278,713,240.64
  5. Step 5: Solve for x
    x = 727,278,713,240.64/394,881.63
  6. Step 6: Final answer
    x = 1,841,763.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.