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Finding the Third Proportional to 361,738 and 764,075

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Solution

The third proportional to 361,738 and 764,075 is: 1,613,904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,738 : 764,075 = 764,075 : x
  2. Step 2: Convert to fraction form
    361,738/764,075 = 764,075/x
  3. Step 3: Cross multiply
    361,738x = 764,075 × 764,075
  4. Step 4: Simplify right side
    361,738x = 583,810,605,625
  5. Step 5: Solve for x
    x = 583,810,605,625/361,738
  6. Step 6: Final answer
    x = 1,613,904.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.