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Finding the Third Proportional to 253,274 and 540,450

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Solution

The third proportional to 253,274 and 540,450 is: 1,153,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,274 : 540,450 = 540,450 : x
  2. Step 2: Convert to fraction form
    253,274/540,450 = 540,450/x
  3. Step 3: Cross multiply
    253,274x = 540,450 × 540,450
  4. Step 4: Simplify right side
    253,274x = 292,086,202,500
  5. Step 5: Solve for x
    x = 292,086,202,500/253,274
  6. Step 6: Final answer
    x = 1,153,241.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.