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Finding the Third Proportional to 263,889 and 622,314

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Solution

The third proportional to 263,889 and 622,314 is: 1,467,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,889 : 622,314 = 622,314 : x
  2. Step 2: Convert to fraction form
    263,889/622,314 = 622,314/x
  3. Step 3: Cross multiply
    263,889x = 622,314 × 622,314
  4. Step 4: Simplify right side
    263,889x = 387,274,714,596
  5. Step 5: Solve for x
    x = 387,274,714,596/263,889
  6. Step 6: Final answer
    x = 1,467,566.72

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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.