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Finding the Third Proportional to 217,491 and 332,736

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Solution

The third proportional to 217,491 and 332,736 is: 509,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,491 : 332,736 = 332,736 : x
  2. Step 2: Convert to fraction form
    217,491/332,736 = 332,736/x
  3. Step 3: Cross multiply
    217,491x = 332,736 × 332,736
  4. Step 4: Simplify right side
    217,491x = 110,713,245,696
  5. Step 5: Solve for x
    x = 110,713,245,696/217,491
  6. Step 6: Final answer
    x = 509,047.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.