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Finding the Third Proportional to 349,737.75 and 778,722.75

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Solution

The third proportional to 349,737.75 and 778,722.75 is: 1,733,896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,737.75 : 778,722.75 = 778,722.75 : x
  2. Step 2: Convert to fraction form
    349,737.75/778,722.75 = 778,722.75/x
  3. Step 3: Cross multiply
    349,737.75x = 778,722.75 × 778,722.75
  4. Step 4: Simplify right side
    349,737.75x = 606,409,121,367.56
  5. Step 5: Solve for x
    x = 606,409,121,367.56/349,737.75
  6. Step 6: Final answer
    x = 1,733,896.67

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.