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Finding the Third Proportional to 241,704.50 and 518,401

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Solution

The third proportional to 241,704.50 and 518,401 is: 1,111,851.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,704.50 : 518,401 = 518,401 : x
  2. Step 2: Convert to fraction form
    241,704.50/518,401 = 518,401/x
  3. Step 3: Cross multiply
    241,704.50x = 518,401 × 518,401
  4. Step 4: Simplify right side
    241,704.50x = 268,739,596,801
  5. Step 5: Solve for x
    x = 268,739,596,801/241,704.50
  6. Step 6: Final answer
    x = 1,111,851.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.