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Finding the Third Proportional to 263,057 and 570,379

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Solution

The third proportional to 263,057 and 570,379 is: 1,236,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,057 : 570,379 = 570,379 : x
  2. Step 2: Convert to fraction form
    263,057/570,379 = 570,379/x
  3. Step 3: Cross multiply
    263,057x = 570,379 × 570,379
  4. Step 4: Simplify right side
    263,057x = 325,332,203,641
  5. Step 5: Solve for x
    x = 325,332,203,641/263,057
  6. Step 6: Final answer
    x = 1,236,736.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.