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Finding the Third Proportional to 289,318 and 444,973

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Solution

The third proportional to 289,318 and 444,973 is: 684,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,318 : 444,973 = 444,973 : x
  2. Step 2: Convert to fraction form
    289,318/444,973 = 444,973/x
  3. Step 3: Cross multiply
    289,318x = 444,973 × 444,973
  4. Step 4: Simplify right side
    289,318x = 198,000,970,729
  5. Step 5: Solve for x
    x = 198,000,970,729/289,318
  6. Step 6: Final answer
    x = 684,371.42

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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.