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Finding the Third Proportional to 308,292.75 and 483,738.75

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Solution

The third proportional to 308,292.75 and 483,738.75 is: 759,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,292.75 : 483,738.75 = 483,738.75 : x
  2. Step 2: Convert to fraction form
    308,292.75/483,738.75 = 483,738.75/x
  3. Step 3: Cross multiply
    308,292.75x = 483,738.75 × 483,738.75
  4. Step 4: Simplify right side
    308,292.75x = 234,003,178,251.56
  5. Step 5: Solve for x
    x = 234,003,178,251.56/308,292.75
  6. Step 6: Final answer
    x = 759,029.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.