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Finding the Third Proportional to 289,266 and 444,913

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Solution

The third proportional to 289,266 and 444,913 is: 684,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,266 : 444,913 = 444,913 : x
  2. Step 2: Convert to fraction form
    289,266/444,913 = 444,913/x
  3. Step 3: Cross multiply
    289,266x = 444,913 × 444,913
  4. Step 4: Simplify right side
    289,266x = 197,947,577,569
  5. Step 5: Solve for x
    x = 197,947,577,569/289,266
  6. Step 6: Final answer
    x = 684,309.87

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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.