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Finding the Third Proportional to 254,177 and 552,619

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Solution

The third proportional to 254,177 and 552,619 is: 1,201,476.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,177 : 552,619 = 552,619 : x
  2. Step 2: Convert to fraction form
    254,177/552,619 = 552,619/x
  3. Step 3: Cross multiply
    254,177x = 552,619 × 552,619
  4. Step 4: Simplify right side
    254,177x = 305,387,759,161
  5. Step 5: Solve for x
    x = 305,387,759,161/254,177
  6. Step 6: Final answer
    x = 1,201,476.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.