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Finding the Third Proportional to 1,450.50 and 2,319.75

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Solution

The third proportional to 1,450.50 and 2,319.75 is: 3,709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.50 : 2,319.75 = 2,319.75 : x
  2. Step 2: Convert to fraction form
    1,450.50/2,319.75 = 2,319.75/x
  3. Step 3: Cross multiply
    1,450.50x = 2,319.75 × 2,319.75
  4. Step 4: Simplify right side
    1,450.50x = 5,381,240.06
  5. Step 5: Solve for x
    x = 5,381,240.06/1,450.50
  6. Step 6: Final answer
    x = 3,709.92

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.