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Finding the Third Proportional to 211,377 and 443,524.50

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Solution

The third proportional to 211,377 and 443,524.50 is: 930,630.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,377 : 443,524.50 = 443,524.50 : x
  2. Step 2: Convert to fraction form
    211,377/443,524.50 = 443,524.50/x
  3. Step 3: Cross multiply
    211,377x = 443,524.50 × 443,524.50
  4. Step 4: Simplify right side
    211,377x = 196,713,982,100.25
  5. Step 5: Solve for x
    x = 196,713,982,100.25/211,377
  6. Step 6: Final answer
    x = 930,630.97

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.