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Finding the Third Proportional to 389,884 and 850,232

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Solution

The third proportional to 389,884 and 850,232 is: 1,854,127.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,884 : 850,232 = 850,232 : x
  2. Step 2: Convert to fraction form
    389,884/850,232 = 850,232/x
  3. Step 3: Cross multiply
    389,884x = 850,232 × 850,232
  4. Step 4: Simplify right side
    389,884x = 722,894,453,824
  5. Step 5: Solve for x
    x = 722,894,453,824/389,884
  6. Step 6: Final answer
    x = 1,854,127.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.