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Finding the Third Proportional to 308,232.56 and 483,647.06

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Solution

The third proportional to 308,232.56 and 483,647.06 is: 758,889.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,232.56 : 483,647.06 = 483,647.06 : x
  2. Step 2: Convert to fraction form
    308,232.56/483,647.06 = 483,647.06/x
  3. Step 3: Cross multiply
    308,232.56x = 483,647.06 × 483,647.06
  4. Step 4: Simplify right side
    308,232.56x = 233,914,481,064.88
  5. Step 5: Solve for x
    x = 233,914,481,064.88/308,232.56
  6. Step 6: Final answer
    x = 758,889.58

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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.