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Finding the Third Proportional to 208,868 and 441,548

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Solution

The third proportional to 208,868 and 441,548 is: 933,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,868 : 441,548 = 441,548 : x
  2. Step 2: Convert to fraction form
    208,868/441,548 = 441,548/x
  3. Step 3: Cross multiply
    208,868x = 441,548 × 441,548
  4. Step 4: Simplify right side
    208,868x = 194,964,636,304
  5. Step 5: Solve for x
    x = 194,964,636,304/208,868
  6. Step 6: Final answer
    x = 933,434.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.