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Finding the Third Proportional to 254,106 and 541,956

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Solution

The third proportional to 254,106 and 541,956 is: 1,155,881.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,106 : 541,956 = 541,956 : x
  2. Step 2: Convert to fraction form
    254,106/541,956 = 541,956/x
  3. Step 3: Cross multiply
    254,106x = 541,956 × 541,956
  4. Step 4: Simplify right side
    254,106x = 293,716,305,936
  5. Step 5: Solve for x
    x = 293,716,305,936/254,106
  6. Step 6: Final answer
    x = 1,155,881.03

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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.