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Finding the Third Proportional to 252,504 and 552,519

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Solution

The third proportional to 252,504 and 552,519 is: 1,208,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,504 : 552,519 = 552,519 : x
  2. Step 2: Convert to fraction form
    252,504/552,519 = 552,519/x
  3. Step 3: Cross multiply
    252,504x = 552,519 × 552,519
  4. Step 4: Simplify right side
    252,504x = 305,277,245,361
  5. Step 5: Solve for x
    x = 305,277,245,361/252,504
  6. Step 6: Final answer
    x = 1,208,999.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.