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Finding the Third Proportional to 291,243 and 622,975

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Solution

The third proportional to 291,243 and 622,975 is: 1,332,556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,243 : 622,975 = 622,975 : x
  2. Step 2: Convert to fraction form
    291,243/622,975 = 622,975/x
  3. Step 3: Cross multiply
    291,243x = 622,975 × 622,975
  4. Step 4: Simplify right side
    291,243x = 388,097,850,625
  5. Step 5: Solve for x
    x = 388,097,850,625/291,243
  6. Step 6: Final answer
    x = 1,332,556.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.