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Finding the Third Proportional to 263,820 and 622,158

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Solution

The third proportional to 263,820 and 622,158 is: 1,467,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,820 : 622,158 = 622,158 : x
  2. Step 2: Convert to fraction form
    263,820/622,158 = 622,158/x
  3. Step 3: Cross multiply
    263,820x = 622,158 × 622,158
  4. Step 4: Simplify right side
    263,820x = 387,080,576,964
  5. Step 5: Solve for x
    x = 387,080,576,964/263,820
  6. Step 6: Final answer
    x = 1,467,214.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.