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Finding the Third Proportional to 254,112 and 541,968

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Solution

The third proportional to 254,112 and 541,968 is: 1,155,904.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,112 : 541,968 = 541,968 : x
  2. Step 2: Convert to fraction form
    254,112/541,968 = 541,968/x
  3. Step 3: Cross multiply
    254,112x = 541,968 × 541,968
  4. Step 4: Simplify right side
    254,112x = 293,729,313,024
  5. Step 5: Solve for x
    x = 293,729,313,024/254,112
  6. Step 6: Final answer
    x = 1,155,904.93

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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.