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Finding the Third Proportional to 188,959 and 414,777

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Solution

The third proportional to 188,959 and 414,777 is: 910,461.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,959 : 414,777 = 414,777 : x
  2. Step 2: Convert to fraction form
    188,959/414,777 = 414,777/x
  3. Step 3: Cross multiply
    188,959x = 414,777 × 414,777
  4. Step 4: Simplify right side
    188,959x = 172,039,959,729
  5. Step 5: Solve for x
    x = 172,039,959,729/188,959
  6. Step 6: Final answer
    x = 910,461.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.