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Finding the Third Proportional to 383,212.69 and 806,123.81

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Solution

The third proportional to 383,212.69 and 806,123.81 is: 1,695,757.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,212.69 : 806,123.81 = 806,123.81 : x
  2. Step 2: Convert to fraction form
    383,212.69/806,123.81 = 806,123.81/x
  3. Step 3: Cross multiply
    383,212.69x = 806,123.81 × 806,123.81
  4. Step 4: Simplify right side
    383,212.69x = 649,835,601,079.54
  5. Step 5: Solve for x
    x = 649,835,601,079.54/383,212.69
  6. Step 6: Final answer
    x = 1,695,757.01

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