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Finding the Third Proportional to 389,997 and 838,203.75

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Solution

The third proportional to 389,997 and 838,203.75 is: 1,801,515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,997 : 838,203.75 = 838,203.75 : x
  2. Step 2: Convert to fraction form
    389,997/838,203.75 = 838,203.75/x
  3. Step 3: Cross multiply
    389,997x = 838,203.75 × 838,203.75
  4. Step 4: Simplify right side
    389,997x = 702,585,526,514.06
  5. Step 5: Solve for x
    x = 702,585,526,514.06/389,997
  6. Step 6: Final answer
    x = 1,801,515.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.