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Finding the Third Proportional to 208,869 and 441,549

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Solution

The third proportional to 208,869 and 441,549 is: 933,434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,869 : 441,549 = 441,549 : x
  2. Step 2: Convert to fraction form
    208,869/441,549 = 441,549/x
  3. Step 3: Cross multiply
    208,869x = 441,549 × 441,549
  4. Step 4: Simplify right side
    208,869x = 194,965,519,401
  5. Step 5: Solve for x
    x = 194,965,519,401/208,869
  6. Step 6: Final answer
    x = 933,434.45

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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.