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Finding the Third Proportional to 395,662.50 and 851,269.50

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Solution

The third proportional to 395,662.50 and 851,269.50 is: 1,831,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,662.50 : 851,269.50 = 851,269.50 : x
  2. Step 2: Convert to fraction form
    395,662.50/851,269.50 = 851,269.50/x
  3. Step 3: Cross multiply
    395,662.50x = 851,269.50 × 851,269.50
  4. Step 4: Simplify right side
    395,662.50x = 724,659,761,630.25
  5. Step 5: Solve for x
    x = 724,659,761,630.25/395,662.50
  6. Step 6: Final answer
    x = 1,831,509.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.