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Finding the Third Proportional to 380,079 and 826,313.06

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Solution

The third proportional to 380,079 and 826,313.06 is: 1,796,450.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,079 : 826,313.06 = 826,313.06 : x
  2. Step 2: Convert to fraction form
    380,079/826,313.06 = 826,313.06/x
  3. Step 3: Cross multiply
    380,079x = 826,313.06 × 826,313.06
  4. Step 4: Simplify right side
    380,079x = 682,793,277,258.13
  5. Step 5: Solve for x
    x = 682,793,277,258.13/380,079
  6. Step 6: Final answer
    x = 1,796,450.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.