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Finding the Third Proportional to 398,139.75 and 859,632.75

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Solution

The third proportional to 398,139.75 and 859,632.75 is: 1,856,052.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,139.75 : 859,632.75 = 859,632.75 : x
  2. Step 2: Convert to fraction form
    398,139.75/859,632.75 = 859,632.75/x
  3. Step 3: Cross multiply
    398,139.75x = 859,632.75 × 859,632.75
  4. Step 4: Simplify right side
    398,139.75x = 738,968,464,872.56
  5. Step 5: Solve for x
    x = 738,968,464,872.56/398,139.75
  6. Step 6: Final answer
    x = 1,856,052.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.