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Finding the Third Proportional to 300,921 and 467,450

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Solution

The third proportional to 300,921 and 467,450 is: 726,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,921 : 467,450 = 467,450 : x
  2. Step 2: Convert to fraction form
    300,921/467,450 = 467,450/x
  3. Step 3: Cross multiply
    300,921x = 467,450 × 467,450
  4. Step 4: Simplify right side
    300,921x = 218,509,502,500
  5. Step 5: Solve for x
    x = 218,509,502,500/300,921
  6. Step 6: Final answer
    x = 726,135.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.