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Finding the Third Proportional to 263,904 and 622,344

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Solution

The third proportional to 263,904 and 622,344 is: 1,467,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,904 : 622,344 = 622,344 : x
  2. Step 2: Convert to fraction form
    263,904/622,344 = 622,344/x
  3. Step 3: Cross multiply
    263,904x = 622,344 × 622,344
  4. Step 4: Simplify right side
    263,904x = 387,312,054,336
  5. Step 5: Solve for x
    x = 387,312,054,336/263,904
  6. Step 6: Final answer
    x = 1,467,624.80

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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.