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Finding the Third Proportional to 283,827 and 622,086

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Solution

The third proportional to 283,827 and 622,086 is: 1,363,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,827 : 622,086 = 622,086 : x
  2. Step 2: Convert to fraction form
    283,827/622,086 = 622,086/x
  3. Step 3: Cross multiply
    283,827x = 622,086 × 622,086
  4. Step 4: Simplify right side
    283,827x = 386,990,991,396
  5. Step 5: Solve for x
    x = 386,990,991,396/283,827
  6. Step 6: Final answer
    x = 1,363,474.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.