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Finding the Third Proportional to 254,040 and 541,824

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Solution

The third proportional to 254,040 and 541,824 is: 1,155,618.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,040 : 541,824 = 541,824 : x
  2. Step 2: Convert to fraction form
    254,040/541,824 = 541,824/x
  3. Step 3: Cross multiply
    254,040x = 541,824 × 541,824
  4. Step 4: Simplify right side
    254,040x = 293,573,246,976
  5. Step 5: Solve for x
    x = 293,573,246,976/254,040
  6. Step 6: Final answer
    x = 1,155,618.20

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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.