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Finding the Third Proportional to 211,824 and 441,072

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Solution

The third proportional to 211,824 and 441,072 is: 918,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,824 : 441,072 = 441,072 : x
  2. Step 2: Convert to fraction form
    211,824/441,072 = 441,072/x
  3. Step 3: Cross multiply
    211,824x = 441,072 × 441,072
  4. Step 4: Simplify right side
    211,824x = 194,544,509,184
  5. Step 5: Solve for x
    x = 194,544,509,184/211,824
  6. Step 6: Final answer
    x = 918,425.25

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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.