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Finding the Third Proportional to 294,849 and 441,809

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Solution

The third proportional to 294,849 and 441,809 is: 662,017.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,849 : 441,809 = 441,809 : x
  2. Step 2: Convert to fraction form
    294,849/441,809 = 441,809/x
  3. Step 3: Cross multiply
    294,849x = 441,809 × 441,809
  4. Step 4: Simplify right side
    294,849x = 195,195,192,481
  5. Step 5: Solve for x
    x = 195,195,192,481/294,849
  6. Step 6: Final answer
    x = 662,017.48

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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.