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Finding the Third Proportional to 397,222 and 851,296

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Solution

The third proportional to 397,222 and 851,296 is: 1,824,432.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,222 : 851,296 = 851,296 : x
  2. Step 2: Convert to fraction form
    397,222/851,296 = 851,296/x
  3. Step 3: Cross multiply
    397,222x = 851,296 × 851,296
  4. Step 4: Simplify right side
    397,222x = 724,704,879,616
  5. Step 5: Solve for x
    x = 724,704,879,616/397,222
  6. Step 6: Final answer
    x = 1,824,432.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.