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Finding the Third Proportional to 189,291 and 404,847

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Solution

The third proportional to 189,291 and 404,847 is: 865,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,291 : 404,847 = 404,847 : x
  2. Step 2: Convert to fraction form
    189,291/404,847 = 404,847/x
  3. Step 3: Cross multiply
    189,291x = 404,847 × 404,847
  4. Step 4: Simplify right side
    189,291x = 163,901,093,409
  5. Step 5: Solve for x
    x = 163,901,093,409/189,291
  6. Step 6: Final answer
    x = 865,868.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.