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Finding the Third Proportional to 253,923 and 546,593

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Solution

The third proportional to 253,923 and 546,593 is: 1,176,592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,923 : 546,593 = 546,593 : x
  2. Step 2: Convert to fraction form
    253,923/546,593 = 546,593/x
  3. Step 3: Cross multiply
    253,923x = 546,593 × 546,593
  4. Step 4: Simplify right side
    253,923x = 298,763,907,649
  5. Step 5: Solve for x
    x = 298,763,907,649/253,923
  6. Step 6: Final answer
    x = 1,176,592.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.