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Finding the Third Proportional to 414,874.33 and 640,738.67

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Solution

The third proportional to 414,874.33 and 640,738.67 is: 989,567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,874.33 : 640,738.67 = 640,738.67 : x
  2. Step 2: Convert to fraction form
    414,874.33/640,738.67 = 640,738.67/x
  3. Step 3: Cross multiply
    414,874.33x = 640,738.67 × 640,738.67
  4. Step 4: Simplify right side
    414,874.33x = 410,546,048,764.71
  5. Step 5: Solve for x
    x = 410,546,048,764.71/414,874.33
  6. Step 6: Final answer
    x = 989,567.25

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.