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Finding the Third Proportional to 289,014 and 383,589

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Solution

The third proportional to 289,014 and 383,589 is: 509,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,014 : 383,589 = 383,589 : x
  2. Step 2: Convert to fraction form
    289,014/383,589 = 383,589/x
  3. Step 3: Cross multiply
    289,014x = 383,589 × 383,589
  4. Step 4: Simplify right side
    289,014x = 147,140,520,921
  5. Step 5: Solve for x
    x = 147,140,520,921/289,014
  6. Step 6: Final answer
    x = 509,112.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.