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

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Solution

The third proportional to 303,745 and 482,745 is: 767,231.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,745 : 482,745 = 482,745 : x
  2. Step 2: Convert to fraction form
    303,745/482,745 = 482,745/x
  3. Step 3: Cross multiply
    303,745x = 482,745 × 482,745
  4. Step 4: Simplify right side
    303,745x = 233,042,735,025
  5. Step 5: Solve for x
    x = 233,042,735,025/303,745
  6. Step 6: Final answer
    x = 767,231.51

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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.