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Finding the Third Proportional to 263,638 and 568,748

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Solution

The third proportional to 263,638 and 568,748 is: 1,226,963.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,638 : 568,748 = 568,748 : x
  2. Step 2: Convert to fraction form
    263,638/568,748 = 568,748/x
  3. Step 3: Cross multiply
    263,638x = 568,748 × 568,748
  4. Step 4: Simplify right side
    263,638x = 323,474,287,504
  5. Step 5: Solve for x
    x = 323,474,287,504/263,638
  6. Step 6: Final answer
    x = 1,226,963.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.