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Finding the Third Proportional to 213,311 and 460,830

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Solution

The third proportional to 213,311 and 460,830 is: 995,561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,311 : 460,830 = 460,830 : x
  2. Step 2: Convert to fraction form
    213,311/460,830 = 460,830/x
  3. Step 3: Cross multiply
    213,311x = 460,830 × 460,830
  4. Step 4: Simplify right side
    213,311x = 212,364,288,900
  5. Step 5: Solve for x
    x = 212,364,288,900/213,311
  6. Step 6: Final answer
    x = 995,561.83

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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.