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Finding the Third Proportional to 308,233.50 and 483,648.50

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Solution

The third proportional to 308,233.50 and 483,648.50 is: 758,891.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,233.50 : 483,648.50 = 483,648.50 : x
  2. Step 2: Convert to fraction form
    308,233.50/483,648.50 = 483,648.50/x
  3. Step 3: Cross multiply
    308,233.50x = 483,648.50 × 483,648.50
  4. Step 4: Simplify right side
    308,233.50x = 233,915,871,552.25
  5. Step 5: Solve for x
    x = 233,915,871,552.25/308,233.50
  6. Step 6: Final answer
    x = 758,891.79

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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.