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Finding the Third Proportional to 208,626 and 446,790

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Solution

The third proportional to 208,626 and 446,790 is: 956,838.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,626 : 446,790 = 446,790 : x
  2. Step 2: Convert to fraction form
    208,626/446,790 = 446,790/x
  3. Step 3: Cross multiply
    208,626x = 446,790 × 446,790
  4. Step 4: Simplify right side
    208,626x = 199,621,304,100
  5. Step 5: Solve for x
    x = 199,621,304,100/208,626
  6. Step 6: Final answer
    x = 956,838.09

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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.