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Finding the Third Proportional to 383,236.31 and 806,162.63

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Solution

The third proportional to 383,236.31 and 806,162.63 is: 1,695,815.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,236.31 : 806,162.63 = 806,162.63 : x
  2. Step 2: Convert to fraction form
    383,236.31/806,162.63 = 806,162.63/x
  3. Step 3: Cross multiply
    383,236.31x = 806,162.63 × 806,162.63
  4. Step 4: Simplify right side
    383,236.31x = 649,898,177,946.89
  5. Step 5: Solve for x
    x = 649,898,177,946.89/383,236.31
  6. Step 6: Final answer
    x = 1,695,815.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.