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Finding the Third Proportional to 398,189.53 and 859,771.69

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Solution

The third proportional to 398,189.53 and 859,771.69 is: 1,856,420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,189.53 : 859,771.69 = 859,771.69 : x
  2. Step 2: Convert to fraction form
    398,189.53/859,771.69 = 859,771.69/x
  3. Step 3: Cross multiply
    398,189.53x = 859,771.69 × 859,771.69
  4. Step 4: Simplify right side
    398,189.53x = 739,207,354,626.60
  5. Step 5: Solve for x
    x = 739,207,354,626.60/398,189.53
  6. Step 6: Final answer
    x = 1,856,420.87

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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.