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Finding the Third Proportional to 263,778 and 567,519

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Solution

The third proportional to 263,778 and 567,519 is: 1,221,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,778 : 567,519 = 567,519 : x
  2. Step 2: Convert to fraction form
    263,778/567,519 = 567,519/x
  3. Step 3: Cross multiply
    263,778x = 567,519 × 567,519
  4. Step 4: Simplify right side
    263,778x = 322,077,815,361
  5. Step 5: Solve for x
    x = 322,077,815,361/263,778
  6. Step 6: Final answer
    x = 1,221,018.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.