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Finding the Third Proportional to 451,474 and 675,003

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Solution

The third proportional to 451,474 and 675,003 is: 1,009,203.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,474 : 675,003 = 675,003 : x
  2. Step 2: Convert to fraction form
    451,474/675,003 = 675,003/x
  3. Step 3: Cross multiply
    451,474x = 675,003 × 675,003
  4. Step 4: Simplify right side
    451,474x = 455,629,050,009
  5. Step 5: Solve for x
    x = 455,629,050,009/451,474
  6. Step 6: Final answer
    x = 1,009,203.30

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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.