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Finding the Third Proportional to 307,493 and 675,525

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Solution

The third proportional to 307,493 and 675,525 is: 1,484,046.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,493 : 675,525 = 675,525 : x
  2. Step 2: Convert to fraction form
    307,493/675,525 = 675,525/x
  3. Step 3: Cross multiply
    307,493x = 675,525 × 675,525
  4. Step 4: Simplify right side
    307,493x = 456,334,025,625
  5. Step 5: Solve for x
    x = 456,334,025,625/307,493
  6. Step 6: Final answer
    x = 1,484,046.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.