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Finding the Third Proportional to 241,911 and 512,663

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Solution

The third proportional to 241,911 and 512,663 is: 1,086,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,911 : 512,663 = 512,663 : x
  2. Step 2: Convert to fraction form
    241,911/512,663 = 512,663/x
  3. Step 3: Cross multiply
    241,911x = 512,663 × 512,663
  4. Step 4: Simplify right side
    241,911x = 262,823,351,569
  5. Step 5: Solve for x
    x = 262,823,351,569/241,911
  6. Step 6: Final answer
    x = 1,086,446.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.