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Finding the Third Proportional to 252,144 and 546,286

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Solution

The third proportional to 252,144 and 546,286 is: 1,183,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,144 : 546,286 = 546,286 : x
  2. Step 2: Convert to fraction form
    252,144/546,286 = 546,286/x
  3. Step 3: Cross multiply
    252,144x = 546,286 × 546,286
  4. Step 4: Simplify right side
    252,144x = 298,428,393,796
  5. Step 5: Solve for x
    x = 298,428,393,796/252,144
  6. Step 6: Final answer
    x = 1,183,563.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.