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Finding the Third Proportional to 254,019 and 543,057

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Solution

The third proportional to 254,019 and 543,057 is: 1,160,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,019 : 543,057 = 543,057 : x
  2. Step 2: Convert to fraction form
    254,019/543,057 = 543,057/x
  3. Step 3: Cross multiply
    254,019x = 543,057 × 543,057
  4. Step 4: Simplify right side
    254,019x = 294,910,905,249
  5. Step 5: Solve for x
    x = 294,910,905,249/254,019
  6. Step 6: Final answer
    x = 1,160,979.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.