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Finding the Third Proportional to 550,530 and 804,551

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Solution

The third proportional to 550,530 and 804,551 is: 1,175,780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,530 : 804,551 = 804,551 : x
  2. Step 2: Convert to fraction form
    550,530/804,551 = 804,551/x
  3. Step 3: Cross multiply
    550,530x = 804,551 × 804,551
  4. Step 4: Simplify right side
    550,530x = 647,302,311,601
  5. Step 5: Solve for x
    x = 647,302,311,601/550,530
  6. Step 6: Final answer
    x = 1,175,780.27

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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.