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Finding the Third Proportional to 263,949 and 575,529

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Solution

The third proportional to 263,949 and 575,529 is: 1,254,915.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,949 : 575,529 = 575,529 : x
  2. Step 2: Convert to fraction form
    263,949/575,529 = 575,529/x
  3. Step 3: Cross multiply
    263,949x = 575,529 × 575,529
  4. Step 4: Simplify right side
    263,949x = 331,233,629,841
  5. Step 5: Solve for x
    x = 331,233,629,841/263,949
  6. Step 6: Final answer
    x = 1,254,915.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.