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Finding the Third Proportional to 303,059 and 659,322

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Solution

The third proportional to 303,059 and 659,322 is: 1,434,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,059 : 659,322 = 659,322 : x
  2. Step 2: Convert to fraction form
    303,059/659,322 = 659,322/x
  3. Step 3: Cross multiply
    303,059x = 659,322 × 659,322
  4. Step 4: Simplify right side
    303,059x = 434,705,499,684
  5. Step 5: Solve for x
    x = 434,705,499,684/303,059
  6. Step 6: Final answer
    x = 1,434,392.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.