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Finding the Third Proportional to 398,190.66 and 859,773.94

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Solution

The third proportional to 398,190.66 and 859,773.94 is: 1,856,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,190.66 : 859,773.94 = 859,773.94 : x
  2. Step 2: Convert to fraction form
    398,190.66/859,773.94 = 859,773.94/x
  3. Step 3: Cross multiply
    398,190.66x = 859,773.94 × 859,773.94
  4. Step 4: Simplify right side
    398,190.66x = 739,211,223,604.25
  5. Step 5: Solve for x
    x = 739,211,223,604.25/398,190.66
  6. Step 6: Final answer
    x = 1,856,425.34

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Why These Related Problems?

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