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Finding the Third Proportional to 241,839 and 526,689

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Solution

The third proportional to 241,839 and 526,689 is: 1,147,049.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,839 : 526,689 = 526,689 : x
  2. Step 2: Convert to fraction form
    241,839/526,689 = 526,689/x
  3. Step 3: Cross multiply
    241,839x = 526,689 × 526,689
  4. Step 4: Simplify right side
    241,839x = 277,401,302,721
  5. Step 5: Solve for x
    x = 277,401,302,721/241,839
  6. Step 6: Final answer
    x = 1,147,049.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.