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Finding the Third Proportional to 213,328 and 460,865

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Solution

The third proportional to 213,328 and 460,865 is: 995,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,328 : 460,865 = 460,865 : x
  2. Step 2: Convert to fraction form
    213,328/460,865 = 460,865/x
  3. Step 3: Cross multiply
    213,328x = 460,865 × 460,865
  4. Step 4: Simplify right side
    213,328x = 212,396,548,225
  5. Step 5: Solve for x
    x = 212,396,548,225/213,328
  6. Step 6: Final answer
    x = 995,633.71

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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.