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Finding the Third Proportional to 312,076.50 and 677,052

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Solution

The third proportional to 312,076.50 and 677,052 is: 1,468,868.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,076.50 : 677,052 = 677,052 : x
  2. Step 2: Convert to fraction form
    312,076.50/677,052 = 677,052/x
  3. Step 3: Cross multiply
    312,076.50x = 677,052 × 677,052
  4. Step 4: Simplify right side
    312,076.50x = 458,399,410,704
  5. Step 5: Solve for x
    x = 458,399,410,704/312,076.50
  6. Step 6: Final answer
    x = 1,468,868.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.