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Finding the Third Proportional to 239,104 and 504,832

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Solution

The third proportional to 239,104 and 504,832 is: 1,065,876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,104 : 504,832 = 504,832 : x
  2. Step 2: Convert to fraction form
    239,104/504,832 = 504,832/x
  3. Step 3: Cross multiply
    239,104x = 504,832 × 504,832
  4. Step 4: Simplify right side
    239,104x = 254,855,348,224
  5. Step 5: Solve for x
    x = 254,855,348,224/239,104
  6. Step 6: Final answer
    x = 1,065,876.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.