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Finding the Third Proportional to 403,504 and 851,936

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Solution

The third proportional to 403,504 and 851,936 is: 1,798,730.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,504 : 851,936 = 851,936 : x
  2. Step 2: Convert to fraction form
    403,504/851,936 = 851,936/x
  3. Step 3: Cross multiply
    403,504x = 851,936 × 851,936
  4. Step 4: Simplify right side
    403,504x = 725,794,948,096
  5. Step 5: Solve for x
    x = 725,794,948,096/403,504
  6. Step 6: Final answer
    x = 1,798,730.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.