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Finding the Third Proportional to 211,270 and 469,766

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Solution

The third proportional to 211,270 and 469,766 is: 1,044,540.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,270 : 469,766 = 469,766 : x
  2. Step 2: Convert to fraction form
    211,270/469,766 = 469,766/x
  3. Step 3: Cross multiply
    211,270x = 469,766 × 469,766
  4. Step 4: Simplify right side
    211,270x = 220,680,094,756
  5. Step 5: Solve for x
    x = 220,680,094,756/211,270
  6. Step 6: Final answer
    x = 1,044,540.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.