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Finding the Third Proportional to 254,384 and 552,504

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Solution

The third proportional to 254,384 and 552,504 is: 1,199,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,384 : 552,504 = 552,504 : x
  2. Step 2: Convert to fraction form
    254,384/552,504 = 552,504/x
  3. Step 3: Cross multiply
    254,384x = 552,504 × 552,504
  4. Step 4: Simplify right side
    254,384x = 305,260,670,016
  5. Step 5: Solve for x
    x = 305,260,670,016/254,384
  6. Step 6: Final answer
    x = 1,199,999.49

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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.