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Finding the Third Proportional to 303,745 and 482,744

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Solution

The third proportional to 303,745 and 482,744 is: 767,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,745 : 482,744 = 482,744 : x
  2. Step 2: Convert to fraction form
    303,745/482,744 = 482,744/x
  3. Step 3: Cross multiply
    303,745x = 482,744 × 482,744
  4. Step 4: Simplify right side
    303,745x = 233,041,769,536
  5. Step 5: Solve for x
    x = 233,041,769,536/303,745
  6. Step 6: Final answer
    x = 767,228.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.