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Finding the Third Proportional to 254,137 and 552,540

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Solution

The third proportional to 254,137 and 552,540 is: 1,201,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,137 : 552,540 = 552,540 : x
  2. Step 2: Convert to fraction form
    254,137/552,540 = 552,540/x
  3. Step 3: Cross multiply
    254,137x = 552,540 × 552,540
  4. Step 4: Simplify right side
    254,137x = 305,300,451,600
  5. Step 5: Solve for x
    x = 305,300,451,600/254,137
  6. Step 6: Final answer
    x = 1,201,322.32

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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.