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Finding the Third Proportional to 213,326 and 460,856

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Solution

The third proportional to 213,326 and 460,856 is: 995,604.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,326 : 460,856 = 460,856 : x
  2. Step 2: Convert to fraction form
    213,326/460,856 = 460,856/x
  3. Step 3: Cross multiply
    213,326x = 460,856 × 460,856
  4. Step 4: Simplify right side
    213,326x = 212,388,252,736
  5. Step 5: Solve for x
    x = 212,388,252,736/213,326
  6. Step 6: Final answer
    x = 995,604.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.