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Finding the Third Proportional to 303,741 and 482,739

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Solution

The third proportional to 303,741 and 482,739 is: 767,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,741 : 482,739 = 482,739 : x
  2. Step 2: Convert to fraction form
    303,741/482,739 = 482,739/x
  3. Step 3: Cross multiply
    303,741x = 482,739 × 482,739
  4. Step 4: Simplify right side
    303,741x = 233,036,942,121
  5. Step 5: Solve for x
    x = 233,036,942,121/303,741
  6. Step 6: Final answer
    x = 767,222.54

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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.