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Finding the Third Proportional to 217,512 and 446,736

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Solution

The third proportional to 217,512 and 446,736 is: 917,526.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,512 : 446,736 = 446,736 : x
  2. Step 2: Convert to fraction form
    217,512/446,736 = 446,736/x
  3. Step 3: Cross multiply
    217,512x = 446,736 × 446,736
  4. Step 4: Simplify right side
    217,512x = 199,573,053,696
  5. Step 5: Solve for x
    x = 199,573,053,696/217,512
  6. Step 6: Final answer
    x = 917,526.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.