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Finding the Third Proportional to 213,317 and 460,843

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Solution

The third proportional to 213,317 and 460,843 is: 995,589.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,317 : 460,843 = 460,843 : x
  2. Step 2: Convert to fraction form
    213,317/460,843 = 460,843/x
  3. Step 3: Cross multiply
    213,317x = 460,843 × 460,843
  4. Step 4: Simplify right side
    213,317x = 212,376,270,649
  5. Step 5: Solve for x
    x = 212,376,270,649/213,317
  6. Step 6: Final answer
    x = 995,589.99

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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.