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Finding the Third Proportional to 303,842 and 659,524

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Solution

The third proportional to 303,842 and 659,524 is: 1,431,572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,842 : 659,524 = 659,524 : x
  2. Step 2: Convert to fraction form
    303,842/659,524 = 659,524/x
  3. Step 3: Cross multiply
    303,842x = 659,524 × 659,524
  4. Step 4: Simplify right side
    303,842x = 434,971,906,576
  5. Step 5: Solve for x
    x = 434,971,906,576/303,842
  6. Step 6: Final answer
    x = 1,431,572.68

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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.