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Finding the Third Proportional to 212,630 and 460,170

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Solution

The third proportional to 212,630 and 460,170 is: 995,891.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,630 : 460,170 = 460,170 : x
  2. Step 2: Convert to fraction form
    212,630/460,170 = 460,170/x
  3. Step 3: Cross multiply
    212,630x = 460,170 × 460,170
  4. Step 4: Simplify right side
    212,630x = 211,756,428,900
  5. Step 5: Solve for x
    x = 211,756,428,900/212,630
  6. Step 6: Final answer
    x = 995,891.59

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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.