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Finding the Third Proportional to 288,621.56 and 668,086.31

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Solution

The third proportional to 288,621.56 and 668,086.31 is: 1,546,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,621.56 : 668,086.31 = 668,086.31 : x
  2. Step 2: Convert to fraction form
    288,621.56/668,086.31 = 668,086.31/x
  3. Step 3: Cross multiply
    288,621.56x = 668,086.31 × 668,086.31
  4. Step 4: Simplify right side
    288,621.56x = 446,339,320,949.85
  5. Step 5: Solve for x
    x = 446,339,320,949.85/288,621.56
  6. Step 6: Final answer
    x = 1,546,451.75

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.