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Finding the Third Proportional to 188,822 and 410,847

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Solution

The third proportional to 188,822 and 410,847 is: 893,938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,822 : 410,847 = 410,847 : x
  2. Step 2: Convert to fraction form
    188,822/410,847 = 410,847/x
  3. Step 3: Cross multiply
    188,822x = 410,847 × 410,847
  4. Step 4: Simplify right side
    188,822x = 168,795,257,409
  5. Step 5: Solve for x
    x = 168,795,257,409/188,822
  6. Step 6: Final answer
    x = 893,938.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.