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Finding the Third Proportional to 300,825.56 and 451,303.31

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Solution

The third proportional to 300,825.56 and 451,303.31 is: 677,052.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,825.56 : 451,303.31 = 451,303.31 : x
  2. Step 2: Convert to fraction form
    300,825.56/451,303.31 = 451,303.31/x
  3. Step 3: Cross multiply
    300,825.56x = 451,303.31 × 451,303.31
  4. Step 4: Simplify right side
    300,825.56x = 203,674,679,873.47
  5. Step 5: Solve for x
    x = 203,674,679,873.47/300,825.56
  6. Step 6: Final answer
    x = 677,052.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.