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Finding the Third Proportional to 263,969 and 622,476

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Solution

The third proportional to 263,969 and 622,476 is: 1,467,885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,969 : 622,476 = 622,476 : x
  2. Step 2: Convert to fraction form
    263,969/622,476 = 622,476/x
  3. Step 3: Cross multiply
    263,969x = 622,476 × 622,476
  4. Step 4: Simplify right side
    263,969x = 387,476,370,576
  5. Step 5: Solve for x
    x = 387,476,370,576/263,969
  6. Step 6: Final answer
    x = 1,467,885.89

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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.