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Finding the Third Proportional to 300,584 and 449,928

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Solution

The third proportional to 300,584 and 449,928 is: 673,472.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,584 : 449,928 = 449,928 : x
  2. Step 2: Convert to fraction form
    300,584/449,928 = 449,928/x
  3. Step 3: Cross multiply
    300,584x = 449,928 × 449,928
  4. Step 4: Simplify right side
    300,584x = 202,435,205,184
  5. Step 5: Solve for x
    x = 202,435,205,184/300,584
  6. Step 6: Final answer
    x = 673,472.99

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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.