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Finding the Third Proportional to 193,091 and 403,828

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Solution

The third proportional to 193,091 and 403,828 is: 844,560.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,091 : 403,828 = 403,828 : x
  2. Step 2: Convert to fraction form
    193,091/403,828 = 403,828/x
  3. Step 3: Cross multiply
    193,091x = 403,828 × 403,828
  4. Step 4: Simplify right side
    193,091x = 163,077,053,584
  5. Step 5: Solve for x
    x = 163,077,053,584/193,091
  6. Step 6: Final answer
    x = 844,560.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.