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Finding the Third Proportional to 235,224 and 512,744

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Solution

The third proportional to 235,224 and 512,744 is: 1,117,685.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,224 : 512,744 = 512,744 : x
  2. Step 2: Convert to fraction form
    235,224/512,744 = 512,744/x
  3. Step 3: Cross multiply
    235,224x = 512,744 × 512,744
  4. Step 4: Simplify right side
    235,224x = 262,906,409,536
  5. Step 5: Solve for x
    x = 262,906,409,536/235,224
  6. Step 6: Final answer
    x = 1,117,685.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.