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Finding the Third Proportional to 213,342 and 460,890

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Solution

The third proportional to 213,342 and 460,890 is: 995,676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,342 : 460,890 = 460,890 : x
  2. Step 2: Convert to fraction form
    213,342/460,890 = 460,890/x
  3. Step 3: Cross multiply
    213,342x = 460,890 × 460,890
  4. Step 4: Simplify right side
    213,342x = 212,419,592,100
  5. Step 5: Solve for x
    x = 212,419,592,100/213,342
  6. Step 6: Final answer
    x = 995,676.39

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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.