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Finding the Third Proportional to 308,236.50 and 483,652.50

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Solution

The third proportional to 308,236.50 and 483,652.50 is: 758,896.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,236.50 : 483,652.50 = 483,652.50 : x
  2. Step 2: Convert to fraction form
    308,236.50/483,652.50 = 483,652.50/x
  3. Step 3: Cross multiply
    308,236.50x = 483,652.50 × 483,652.50
  4. Step 4: Simplify right side
    308,236.50x = 233,919,740,756.25
  5. Step 5: Solve for x
    x = 233,919,740,756.25/308,236.50
  6. Step 6: Final answer
    x = 758,896.95

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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.