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Finding the Third Proportional to 263,814 and 622,141

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Solution

The third proportional to 263,814 and 622,141 is: 1,467,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,814 : 622,141 = 622,141 : x
  2. Step 2: Convert to fraction form
    263,814/622,141 = 622,141/x
  3. Step 3: Cross multiply
    263,814x = 622,141 × 622,141
  4. Step 4: Simplify right side
    263,814x = 387,059,423,881
  5. Step 5: Solve for x
    x = 387,059,423,881/263,814
  6. Step 6: Final answer
    x = 1,467,167.87

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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.