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Finding the Third Proportional to 208,721 and 446,958

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Solution

The third proportional to 208,721 and 446,958 is: 957,121.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,721 : 446,958 = 446,958 : x
  2. Step 2: Convert to fraction form
    208,721/446,958 = 446,958/x
  3. Step 3: Cross multiply
    208,721x = 446,958 × 446,958
  4. Step 4: Simplify right side
    208,721x = 199,771,453,764
  5. Step 5: Solve for x
    x = 199,771,453,764/208,721
  6. Step 6: Final answer
    x = 957,121.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.