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Finding the Third Proportional to 203,904 and 474,075

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Solution

The third proportional to 203,904 and 474,075 is: 1,102,220.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,904 : 474,075 = 474,075 : x
  2. Step 2: Convert to fraction form
    203,904/474,075 = 474,075/x
  3. Step 3: Cross multiply
    203,904x = 474,075 × 474,075
  4. Step 4: Simplify right side
    203,904x = 224,747,105,625
  5. Step 5: Solve for x
    x = 224,747,105,625/203,904
  6. Step 6: Final answer
    x = 1,102,220.19

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.