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Finding the Third Proportional to 392,057 and 850,498

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Solution

The third proportional to 392,057 and 850,498 is: 1,845,004.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,057 : 850,498 = 850,498 : x
  2. Step 2: Convert to fraction form
    392,057/850,498 = 850,498/x
  3. Step 3: Cross multiply
    392,057x = 850,498 × 850,498
  4. Step 4: Simplify right side
    392,057x = 723,346,848,004
  5. Step 5: Solve for x
    x = 723,346,848,004/392,057
  6. Step 6: Final answer
    x = 1,845,004.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.