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Finding the Third Proportional to 211,048 and 443,965

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Solution

The third proportional to 211,048 and 443,965 is: 933,934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,048 : 443,965 = 443,965 : x
  2. Step 2: Convert to fraction form
    211,048/443,965 = 443,965/x
  3. Step 3: Cross multiply
    211,048x = 443,965 × 443,965
  4. Step 4: Simplify right side
    211,048x = 197,104,921,225
  5. Step 5: Solve for x
    x = 197,104,921,225/211,048
  6. Step 6: Final answer
    x = 933,934.09

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Why These Related Problems?

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