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Finding the Third Proportional to 241,299 and 382,401

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Solution

The third proportional to 241,299 and 382,401 is: 606,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,299 : 382,401 = 382,401 : x
  2. Step 2: Convert to fraction form
    241,299/382,401 = 382,401/x
  3. Step 3: Cross multiply
    241,299x = 382,401 × 382,401
  4. Step 4: Simplify right side
    241,299x = 146,230,524,801
  5. Step 5: Solve for x
    x = 146,230,524,801/241,299
  6. Step 6: Final answer
    x = 606,013.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.