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Finding the Third Proportional to 395,301.50 and 862,158.50

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Solution

The third proportional to 395,301.50 and 862,158.50 is: 1,880,380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,301.50 : 862,158.50 = 862,158.50 : x
  2. Step 2: Convert to fraction form
    395,301.50/862,158.50 = 862,158.50/x
  3. Step 3: Cross multiply
    395,301.50x = 862,158.50 × 862,158.50
  4. Step 4: Simplify right side
    395,301.50x = 743,317,279,122.25
  5. Step 5: Solve for x
    x = 743,317,279,122.25/395,301.50
  6. Step 6: Final answer
    x = 1,880,380.62

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