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Finding the Third Proportional to 228,530 and 350,571

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Solution

The third proportional to 228,530 and 350,571 is: 537,785.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,530 : 350,571 = 350,571 : x
  2. Step 2: Convert to fraction form
    228,530/350,571 = 350,571/x
  3. Step 3: Cross multiply
    228,530x = 350,571 × 350,571
  4. Step 4: Simplify right side
    228,530x = 122,900,026,041
  5. Step 5: Solve for x
    x = 122,900,026,041/228,530
  6. Step 6: Final answer
    x = 537,785.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.