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Finding the Third Proportional to 378,576 and 835,920

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Solution

The third proportional to 378,576 and 835,920 is: 1,845,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,576 : 835,920 = 835,920 : x
  2. Step 2: Convert to fraction form
    378,576/835,920 = 835,920/x
  3. Step 3: Cross multiply
    378,576x = 835,920 × 835,920
  4. Step 4: Simplify right side
    378,576x = 698,762,246,400
  5. Step 5: Solve for x
    x = 698,762,246,400/378,576
  6. Step 6: Final answer
    x = 1,845,764.78

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.