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Finding the Third Proportional to 286,856 and 622,096

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Solution

The third proportional to 286,856 and 622,096 is: 1,349,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,856 : 622,096 = 622,096 : x
  2. Step 2: Convert to fraction form
    286,856/622,096 = 622,096/x
  3. Step 3: Cross multiply
    286,856x = 622,096 × 622,096
  4. Step 4: Simplify right side
    286,856x = 387,003,433,216
  5. Step 5: Solve for x
    x = 387,003,433,216/286,856
  6. Step 6: Final answer
    x = 1,349,120.93

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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.