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Finding the Third Proportional to 233,636 and 366,027

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Solution

The third proportional to 233,636 and 366,027 is: 573,438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,636 : 366,027 = 366,027 : x
  2. Step 2: Convert to fraction form
    233,636/366,027 = 366,027/x
  3. Step 3: Cross multiply
    233,636x = 366,027 × 366,027
  4. Step 4: Simplify right side
    233,636x = 133,975,764,729
  5. Step 5: Solve for x
    x = 133,975,764,729/233,636
  6. Step 6: Final answer
    x = 573,438.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.