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Finding the Third Proportional to 263,171 and 576,418

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Solution

The third proportional to 263,171 and 576,418 is: 1,262,516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,171 : 576,418 = 576,418 : x
  2. Step 2: Convert to fraction form
    263,171/576,418 = 576,418/x
  3. Step 3: Cross multiply
    263,171x = 576,418 × 576,418
  4. Step 4: Simplify right side
    263,171x = 332,257,710,724
  5. Step 5: Solve for x
    x = 332,257,710,724/263,171
  6. Step 6: Final answer
    x = 1,262,516.43

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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.