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Finding the Third Proportional to 211,600 and 440,736

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Solution

The third proportional to 211,600 and 440,736 is: 917,997.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,600 : 440,736 = 440,736 : x
  2. Step 2: Convert to fraction form
    211,600/440,736 = 440,736/x
  3. Step 3: Cross multiply
    211,600x = 440,736 × 440,736
  4. Step 4: Simplify right side
    211,600x = 194,248,221,696
  5. Step 5: Solve for x
    x = 194,248,221,696/211,600
  6. Step 6: Final answer
    x = 917,997.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.