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Finding the Third Proportional to 254,022 and 543,063

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Solution

The third proportional to 254,022 and 543,063 is: 1,160,991.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,022 : 543,063 = 543,063 : x
  2. Step 2: Convert to fraction form
    254,022/543,063 = 543,063/x
  3. Step 3: Cross multiply
    254,022x = 543,063 × 543,063
  4. Step 4: Simplify right side
    254,022x = 294,917,421,969
  5. Step 5: Solve for x
    x = 294,917,421,969/254,022
  6. Step 6: Final answer
    x = 1,160,991.65

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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.