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Finding the Third Proportional to 300,627 and 449,481

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Solution

The third proportional to 300,627 and 449,481 is: 672,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,627 : 449,481 = 449,481 : x
  2. Step 2: Convert to fraction form
    300,627/449,481 = 449,481/x
  3. Step 3: Cross multiply
    300,627x = 449,481 × 449,481
  4. Step 4: Simplify right side
    300,627x = 202,033,169,361
  5. Step 5: Solve for x
    x = 202,033,169,361/300,627
  6. Step 6: Final answer
    x = 672,039.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.