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Finding the Third Proportional to 289,224 and 444,831

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Solution

The third proportional to 289,224 and 444,831 is: 684,156.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,224 : 444,831 = 444,831 : x
  2. Step 2: Convert to fraction form
    289,224/444,831 = 444,831/x
  3. Step 3: Cross multiply
    289,224x = 444,831 × 444,831
  4. Step 4: Simplify right side
    289,224x = 197,874,618,561
  5. Step 5: Solve for x
    x = 197,874,618,561/289,224
  6. Step 6: Final answer
    x = 684,156.98

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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.