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Finding the Third Proportional to 392,058 and 850,500

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Solution

The third proportional to 392,058 and 850,500 is: 1,845,008.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,058 : 850,500 = 850,500 : x
  2. Step 2: Convert to fraction form
    392,058/850,500 = 850,500/x
  3. Step 3: Cross multiply
    392,058x = 850,500 × 850,500
  4. Step 4: Simplify right side
    392,058x = 723,350,250,000
  5. Step 5: Solve for x
    x = 723,350,250,000/392,058
  6. Step 6: Final answer
    x = 1,845,008.26

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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.