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Finding the Third Proportional to 303,568 and 659,623

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Solution

The third proportional to 303,568 and 659,623 is: 1,433,295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,568 : 659,623 = 659,623 : x
  2. Step 2: Convert to fraction form
    303,568/659,623 = 659,623/x
  3. Step 3: Cross multiply
    303,568x = 659,623 × 659,623
  4. Step 4: Simplify right side
    303,568x = 435,102,502,129
  5. Step 5: Solve for x
    x = 435,102,502,129/303,568
  6. Step 6: Final answer
    x = 1,433,295.02

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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.