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Finding the Third Proportional to 550,504 and 804,512

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Solution

The third proportional to 550,504 and 804,512 is: 1,175,721.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,504 : 804,512 = 804,512 : x
  2. Step 2: Convert to fraction form
    550,504/804,512 = 804,512/x
  3. Step 3: Cross multiply
    550,504x = 804,512 × 804,512
  4. Step 4: Simplify right side
    550,504x = 647,239,558,144
  5. Step 5: Solve for x
    x = 647,239,558,144/550,504
  6. Step 6: Final answer
    x = 1,175,721.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.