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Finding the Third Proportional to 207,075 and 451,635.50

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Solution

The third proportional to 207,075 and 451,635.50 is: 985,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,075 : 451,635.50 = 451,635.50 : x
  2. Step 2: Convert to fraction form
    207,075/451,635.50 = 451,635.50/x
  3. Step 3: Cross multiply
    207,075x = 451,635.50 × 451,635.50
  4. Step 4: Simplify right side
    207,075x = 203,974,624,860.25
  5. Step 5: Solve for x
    x = 203,974,624,860.25/207,075
  6. Step 6: Final answer
    x = 985,027.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.