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Finding the Third Proportional to 252,009 and 548,307

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Solution

The third proportional to 252,009 and 548,307 is: 1,192,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,009 : 548,307 = 548,307 : x
  2. Step 2: Convert to fraction form
    252,009/548,307 = 548,307/x
  3. Step 3: Cross multiply
    252,009x = 548,307 × 548,307
  4. Step 4: Simplify right side
    252,009x = 300,640,566,249
  5. Step 5: Solve for x
    x = 300,640,566,249/252,009
  6. Step 6: Final answer
    x = 1,192,975.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.