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Finding the Third Proportional to 248,934 and 546,252

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Solution

The third proportional to 248,934 and 546,252 is: 1,198,676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,934 : 546,252 = 546,252 : x
  2. Step 2: Convert to fraction form
    248,934/546,252 = 546,252/x
  3. Step 3: Cross multiply
    248,934x = 546,252 × 546,252
  4. Step 4: Simplify right side
    248,934x = 298,391,247,504
  5. Step 5: Solve for x
    x = 298,391,247,504/248,934
  6. Step 6: Final answer
    x = 1,198,676.15

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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.