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Finding the Third Proportional to 289,321 and 444,977

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Solution

The third proportional to 289,321 and 444,977 is: 684,376.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,321 : 444,977 = 444,977 : x
  2. Step 2: Convert to fraction form
    289,321/444,977 = 444,977/x
  3. Step 3: Cross multiply
    289,321x = 444,977 × 444,977
  4. Step 4: Simplify right side
    289,321x = 198,004,530,529
  5. Step 5: Solve for x
    x = 198,004,530,529/289,321
  6. Step 6: Final answer
    x = 684,376.63

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.