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Finding the Third Proportional to 353,937.50 and 770,083

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Solution

The third proportional to 353,937.50 and 770,083 is: 1,675,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,937.50 : 770,083 = 770,083 : x
  2. Step 2: Convert to fraction form
    353,937.50/770,083 = 770,083/x
  3. Step 3: Cross multiply
    353,937.50x = 770,083 × 770,083
  4. Step 4: Simplify right side
    353,937.50x = 593,027,826,889
  5. Step 5: Solve for x
    x = 593,027,826,889/353,937.50
  6. Step 6: Final answer
    x = 1,675,515.67

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