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Finding the Third Proportional to 190,782 and 414,779

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Solution

The third proportional to 190,782 and 414,779 is: 901,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,782 : 414,779 = 414,779 : x
  2. Step 2: Convert to fraction form
    190,782/414,779 = 414,779/x
  3. Step 3: Cross multiply
    190,782x = 414,779 × 414,779
  4. Step 4: Simplify right side
    190,782x = 172,041,618,841
  5. Step 5: Solve for x
    x = 172,041,618,841/190,782
  6. Step 6: Final answer
    x = 901,770.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.