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Finding the Third Proportional to 236,832 and 504,336

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Solution

The third proportional to 236,832 and 504,336 is: 1,073,988.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,832 : 504,336 = 504,336 : x
  2. Step 2: Convert to fraction form
    236,832/504,336 = 504,336/x
  3. Step 3: Cross multiply
    236,832x = 504,336 × 504,336
  4. Step 4: Simplify right side
    236,832x = 254,354,800,896
  5. Step 5: Solve for x
    x = 254,354,800,896/236,832
  6. Step 6: Final answer
    x = 1,073,988.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.