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Finding the Third Proportional to 254,512 and 552,768

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Solution

The third proportional to 254,512 and 552,768 is: 1,200,542.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,512 : 552,768 = 552,768 : x
  2. Step 2: Convert to fraction form
    254,512/552,768 = 552,768/x
  3. Step 3: Cross multiply
    254,512x = 552,768 × 552,768
  4. Step 4: Simplify right side
    254,512x = 305,552,461,824
  5. Step 5: Solve for x
    x = 305,552,461,824/254,512
  6. Step 6: Final answer
    x = 1,200,542.46

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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.