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Finding the Third Proportional to 185,821 and 407,732

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Solution

The third proportional to 185,821 and 407,732 is: 894,653.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,821 : 407,732 = 407,732 : x
  2. Step 2: Convert to fraction form
    185,821/407,732 = 407,732/x
  3. Step 3: Cross multiply
    185,821x = 407,732 × 407,732
  4. Step 4: Simplify right side
    185,821x = 166,245,383,824
  5. Step 5: Solve for x
    x = 166,245,383,824/185,821
  6. Step 6: Final answer
    x = 894,653.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.