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Finding the Third Proportional to 392,892 and 857,749.50

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Solution

The third proportional to 392,892 and 857,749.50 is: 1,872,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,892 : 857,749.50 = 857,749.50 : x
  2. Step 2: Convert to fraction form
    392,892/857,749.50 = 857,749.50/x
  3. Step 3: Cross multiply
    392,892x = 857,749.50 × 857,749.50
  4. Step 4: Simplify right side
    392,892x = 735,734,204,750.25
  5. Step 5: Solve for x
    x = 735,734,204,750.25/392,892
  6. Step 6: Final answer
    x = 1,872,611.82

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