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Finding the Third Proportional to 290,263.50 and 682,962

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Solution

The third proportional to 290,263.50 and 682,962 is: 1,606,943.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,263.50 : 682,962 = 682,962 : x
  2. Step 2: Convert to fraction form
    290,263.50/682,962 = 682,962/x
  3. Step 3: Cross multiply
    290,263.50x = 682,962 × 682,962
  4. Step 4: Simplify right side
    290,263.50x = 466,437,093,444
  5. Step 5: Solve for x
    x = 466,437,093,444/290,263.50
  6. Step 6: Final answer
    x = 1,606,943.67

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.