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Finding the Third Proportional to 308,412.56 and 483,919.31

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Solution

The third proportional to 308,412.56 and 483,919.31 is: 759,300.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,412.56 : 483,919.31 = 483,919.31 : x
  2. Step 2: Convert to fraction form
    308,412.56/483,919.31 = 483,919.31/x
  3. Step 3: Cross multiply
    308,412.56x = 483,919.31 × 483,919.31
  4. Step 4: Simplify right side
    308,412.56x = 234,177,901,010.47
  5. Step 5: Solve for x
    x = 234,177,901,010.47/308,412.56
  6. Step 6: Final answer
    x = 759,300.79

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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.