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Finding the Third Proportional to 289,226 and 444,834

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Solution

The third proportional to 289,226 and 444,834 is: 684,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,226 : 444,834 = 444,834 : x
  2. Step 2: Convert to fraction form
    289,226/444,834 = 444,834/x
  3. Step 3: Cross multiply
    289,226x = 444,834 × 444,834
  4. Step 4: Simplify right side
    289,226x = 197,877,287,556
  5. Step 5: Solve for x
    x = 197,877,287,556/289,226
  6. Step 6: Final answer
    x = 684,161.48

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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.