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Finding the Third Proportional to 228,986 and 336,627

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Solution

The third proportional to 228,986 and 336,627 is: 494,867.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,986 : 336,627 = 336,627 : x
  2. Step 2: Convert to fraction form
    228,986/336,627 = 336,627/x
  3. Step 3: Cross multiply
    228,986x = 336,627 × 336,627
  4. Step 4: Simplify right side
    228,986x = 113,317,737,129
  5. Step 5: Solve for x
    x = 113,317,737,129/228,986
  6. Step 6: Final answer
    x = 494,867.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.