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Finding the Third Proportional to 254,208 and 547,815

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Solution

The third proportional to 254,208 and 547,815 is: 1,180,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,208 : 547,815 = 547,815 : x
  2. Step 2: Convert to fraction form
    254,208/547,815 = 547,815/x
  3. Step 3: Cross multiply
    254,208x = 547,815 × 547,815
  4. Step 4: Simplify right side
    254,208x = 300,101,274,225
  5. Step 5: Solve for x
    x = 300,101,274,225/254,208
  6. Step 6: Final answer
    x = 1,180,534.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.