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Finding the Third Proportional to 393,945.75 and 576,942.75

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Solution

The third proportional to 393,945.75 and 576,942.75 is: 844,946.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,945.75 : 576,942.75 = 576,942.75 : x
  2. Step 2: Convert to fraction form
    393,945.75/576,942.75 = 576,942.75/x
  3. Step 3: Cross multiply
    393,945.75x = 576,942.75 × 576,942.75
  4. Step 4: Simplify right side
    393,945.75x = 332,862,936,777.56
  5. Step 5: Solve for x
    x = 332,862,936,777.56/393,945.75
  6. Step 6: Final answer
    x = 844,946.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.