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Finding the Third Proportional to 248,923 and 546,230

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Solution

The third proportional to 248,923 and 546,230 is: 1,198,632.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,923 : 546,230 = 546,230 : x
  2. Step 2: Convert to fraction form
    248,923/546,230 = 546,230/x
  3. Step 3: Cross multiply
    248,923x = 546,230 × 546,230
  4. Step 4: Simplify right side
    248,923x = 298,367,212,900
  5. Step 5: Solve for x
    x = 298,367,212,900/248,923
  6. Step 6: Final answer
    x = 1,198,632.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.