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Finding the Third Proportional to 395,256 and 878,947.50

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Solution

The third proportional to 395,256 and 878,947.50 is: 1,954,552.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,256 : 878,947.50 = 878,947.50 : x
  2. Step 2: Convert to fraction form
    395,256/878,947.50 = 878,947.50/x
  3. Step 3: Cross multiply
    395,256x = 878,947.50 × 878,947.50
  4. Step 4: Simplify right side
    395,256x = 772,548,707,756.25
  5. Step 5: Solve for x
    x = 772,548,707,756.25/395,256
  6. Step 6: Final answer
    x = 1,954,552.77

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.