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Finding the Third Proportional to 303,378 and 659,704

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Solution

The third proportional to 303,378 and 659,704 is: 1,434,544.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,378 : 659,704 = 659,704 : x
  2. Step 2: Convert to fraction form
    303,378/659,704 = 659,704/x
  3. Step 3: Cross multiply
    303,378x = 659,704 × 659,704
  4. Step 4: Simplify right side
    303,378x = 435,209,367,616
  5. Step 5: Solve for x
    x = 435,209,367,616/303,378
  6. Step 6: Final answer
    x = 1,434,544.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.