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Finding the Third Proportional to 241,401 and 530,059

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Solution

The third proportional to 241,401 and 530,059 is: 1,163,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,401 : 530,059 = 530,059 : x
  2. Step 2: Convert to fraction form
    241,401/530,059 = 530,059/x
  3. Step 3: Cross multiply
    241,401x = 530,059 × 530,059
  4. Step 4: Simplify right side
    241,401x = 280,962,543,481
  5. Step 5: Solve for x
    x = 280,962,543,481/241,401
  6. Step 6: Final answer
    x = 1,163,883.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.