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Finding the Third Proportional to 263,519 and 577,012

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Solution

The third proportional to 263,519 and 577,012 is: 1,263,449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,519 : 577,012 = 577,012 : x
  2. Step 2: Convert to fraction form
    263,519/577,012 = 577,012/x
  3. Step 3: Cross multiply
    263,519x = 577,012 × 577,012
  4. Step 4: Simplify right side
    263,519x = 332,942,848,144
  5. Step 5: Solve for x
    x = 332,942,848,144/263,519
  6. Step 6: Final answer
    x = 1,263,449.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.