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Finding the Third Proportional to 366,879 and 857,599

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Solution

The third proportional to 366,879 and 857,599 is: 2,004,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,879 : 857,599 = 857,599 : x
  2. Step 2: Convert to fraction form
    366,879/857,599 = 857,599/x
  3. Step 3: Cross multiply
    366,879x = 857,599 × 857,599
  4. Step 4: Simplify right side
    366,879x = 735,476,044,801
  5. Step 5: Solve for x
    x = 735,476,044,801/366,879
  6. Step 6: Final answer
    x = 2,004,682.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.