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Finding the Third Proportional to 289,325 and 444,983

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Solution

The third proportional to 289,325 and 444,983 is: 684,385.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,325 : 444,983 = 444,983 : x
  2. Step 2: Convert to fraction form
    289,325/444,983 = 444,983/x
  3. Step 3: Cross multiply
    289,325x = 444,983 × 444,983
  4. Step 4: Simplify right side
    289,325x = 198,009,870,289
  5. Step 5: Solve for x
    x = 198,009,870,289/289,325
  6. Step 6: Final answer
    x = 684,385.62

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Why These Related Problems?

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