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Finding the Third Proportional to 308,568 and 409,434.75

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Solution

The third proportional to 308,568 and 409,434.75 is: 543,273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,568 : 409,434.75 = 409,434.75 : x
  2. Step 2: Convert to fraction form
    308,568/409,434.75 = 409,434.75/x
  3. Step 3: Cross multiply
    308,568x = 409,434.75 × 409,434.75
  4. Step 4: Simplify right side
    308,568x = 167,636,814,507.56
  5. Step 5: Solve for x
    x = 167,636,814,507.56/308,568
  6. Step 6: Final answer
    x = 543,273.49

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.