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Finding the Third Proportional to 226,811 and 333,655

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Solution

The third proportional to 226,811 and 333,655 is: 490,830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,811 : 333,655 = 333,655 : x
  2. Step 2: Convert to fraction form
    226,811/333,655 = 333,655/x
  3. Step 3: Cross multiply
    226,811x = 333,655 × 333,655
  4. Step 4: Simplify right side
    226,811x = 111,325,659,025
  5. Step 5: Solve for x
    x = 111,325,659,025/226,811
  6. Step 6: Final answer
    x = 490,830.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.