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Finding the Third Proportional to 263,196 and 576,372

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Solution

The third proportional to 263,196 and 576,372 is: 1,262,195.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,196 : 576,372 = 576,372 : x
  2. Step 2: Convert to fraction form
    263,196/576,372 = 576,372/x
  3. Step 3: Cross multiply
    263,196x = 576,372 × 576,372
  4. Step 4: Simplify right side
    263,196x = 332,204,682,384
  5. Step 5: Solve for x
    x = 332,204,682,384/263,196
  6. Step 6: Final answer
    x = 1,262,195.03

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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.