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Finding the Third Proportional to 211,574 and 324,075

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Solution

The third proportional to 211,574 and 324,075 is: 496,396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,574 : 324,075 = 324,075 : x
  2. Step 2: Convert to fraction form
    211,574/324,075 = 324,075/x
  3. Step 3: Cross multiply
    211,574x = 324,075 × 324,075
  4. Step 4: Simplify right side
    211,574x = 105,024,605,625
  5. Step 5: Solve for x
    x = 105,024,605,625/211,574
  6. Step 6: Final answer
    x = 496,396.56

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.