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Finding the Third Proportional to 289,098 and 444,923

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Solution

The third proportional to 289,098 and 444,923 is: 684,738.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,098 : 444,923 = 444,923 : x
  2. Step 2: Convert to fraction form
    289,098/444,923 = 444,923/x
  3. Step 3: Cross multiply
    289,098x = 444,923 × 444,923
  4. Step 4: Simplify right side
    289,098x = 197,956,475,929
  5. Step 5: Solve for x
    x = 197,956,475,929/289,098
  6. Step 6: Final answer
    x = 684,738.31

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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.