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Finding the Third Proportional to 263,318 and 576,638

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Solution

The third proportional to 263,318 and 576,638 is: 1,262,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,318 : 576,638 = 576,638 : x
  2. Step 2: Convert to fraction form
    263,318/576,638 = 576,638/x
  3. Step 3: Cross multiply
    263,318x = 576,638 × 576,638
  4. Step 4: Simplify right side
    263,318x = 332,511,383,044
  5. Step 5: Solve for x
    x = 332,511,383,044/263,318
  6. Step 6: Final answer
    x = 1,262,774.98

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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.