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Finding the Third Proportional to 211,186 and 439,846

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Solution

The third proportional to 211,186 and 439,846 is: 916,085.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,186 : 439,846 = 439,846 : x
  2. Step 2: Convert to fraction form
    211,186/439,846 = 439,846/x
  3. Step 3: Cross multiply
    211,186x = 439,846 × 439,846
  4. Step 4: Simplify right side
    211,186x = 193,464,503,716
  5. Step 5: Solve for x
    x = 193,464,503,716/211,186
  6. Step 6: Final answer
    x = 916,085.84

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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.