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Finding the Third Proportional to 211,896 and 441,216

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Solution

The third proportional to 211,896 and 441,216 is: 918,712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,896 : 441,216 = 441,216 : x
  2. Step 2: Convert to fraction form
    211,896/441,216 = 441,216/x
  3. Step 3: Cross multiply
    211,896x = 441,216 × 441,216
  4. Step 4: Simplify right side
    211,896x = 194,671,558,656
  5. Step 5: Solve for x
    x = 194,671,558,656/211,896
  6. Step 6: Final answer
    x = 918,712.76

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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.