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Finding the Third Proportional to 392,059 and 850,502

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Solution

The third proportional to 392,059 and 850,502 is: 1,845,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,059 : 850,502 = 850,502 : x
  2. Step 2: Convert to fraction form
    392,059/850,502 = 850,502/x
  3. Step 3: Cross multiply
    392,059x = 850,502 × 850,502
  4. Step 4: Simplify right side
    392,059x = 723,353,652,004
  5. Step 5: Solve for x
    x = 723,353,652,004/392,059
  6. Step 6: Final answer
    x = 1,845,012.24

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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.