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Finding the Third Proportional to 300,125 and 457,809

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Solution

The third proportional to 300,125 and 457,809 is: 698,339.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,125 : 457,809 = 457,809 : x
  2. Step 2: Convert to fraction form
    300,125/457,809 = 457,809/x
  3. Step 3: Cross multiply
    300,125x = 457,809 × 457,809
  4. Step 4: Simplify right side
    300,125x = 209,589,080,481
  5. Step 5: Solve for x
    x = 209,589,080,481/300,125
  6. Step 6: Final answer
    x = 698,339.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.