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Finding the Third Proportional to 314,410.50 and 444,455.75

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Solution

The third proportional to 314,410.50 and 444,455.75 is: 628,289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,410.50 : 444,455.75 = 444,455.75 : x
  2. Step 2: Convert to fraction form
    314,410.50/444,455.75 = 444,455.75/x
  3. Step 3: Cross multiply
    314,410.50x = 444,455.75 × 444,455.75
  4. Step 4: Simplify right side
    314,410.50x = 197,540,913,708.06
  5. Step 5: Solve for x
    x = 197,540,913,708.06/314,410.50
  6. Step 6: Final answer
    x = 628,289.81

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.