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Finding the Third Proportional to 248,914 and 546,212

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Solution

The third proportional to 248,914 and 546,212 is: 1,198,596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,914 : 546,212 = 546,212 : x
  2. Step 2: Convert to fraction form
    248,914/546,212 = 546,212/x
  3. Step 3: Cross multiply
    248,914x = 546,212 × 546,212
  4. Step 4: Simplify right side
    248,914x = 298,347,548,944
  5. Step 5: Solve for x
    x = 298,347,548,944/248,914
  6. Step 6: Final answer
    x = 1,198,596.90

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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.