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Finding the Third Proportional to 289,228 and 444,837

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Solution

The third proportional to 289,228 and 444,837 is: 684,165.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,228 : 444,837 = 444,837 : x
  2. Step 2: Convert to fraction form
    289,228/444,837 = 444,837/x
  3. Step 3: Cross multiply
    289,228x = 444,837 × 444,837
  4. Step 4: Simplify right side
    289,228x = 197,879,956,569
  5. Step 5: Solve for x
    x = 197,879,956,569/289,228
  6. Step 6: Final answer
    x = 684,165.97

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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.