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Finding the Third Proportional to 254,372 and 552,520

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Solution

The third proportional to 254,372 and 552,520 is: 1,200,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,372 : 552,520 = 552,520 : x
  2. Step 2: Convert to fraction form
    254,372/552,520 = 552,520/x
  3. Step 3: Cross multiply
    254,372x = 552,520 × 552,520
  4. Step 4: Simplify right side
    254,372x = 305,278,350,400
  5. Step 5: Solve for x
    x = 305,278,350,400/254,372
  6. Step 6: Final answer
    x = 1,200,125.61

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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.