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Finding the Third Proportional to 289,404 and 445,041

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Solution

The third proportional to 289,404 and 445,041 is: 684,377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,404 : 445,041 = 445,041 : x
  2. Step 2: Convert to fraction form
    289,404/445,041 = 445,041/x
  3. Step 3: Cross multiply
    289,404x = 445,041 × 445,041
  4. Step 4: Simplify right side
    289,404x = 198,061,491,681
  5. Step 5: Solve for x
    x = 198,061,491,681/289,404
  6. Step 6: Final answer
    x = 684,377.17

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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.