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Finding the Third Proportional to 193,588 and 404,918

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Solution

The third proportional to 193,588 and 404,918 is: 846,946.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,588 : 404,918 = 404,918 : x
  2. Step 2: Convert to fraction form
    193,588/404,918 = 404,918/x
  3. Step 3: Cross multiply
    193,588x = 404,918 × 404,918
  4. Step 4: Simplify right side
    193,588x = 163,958,586,724
  5. Step 5: Solve for x
    x = 163,958,586,724/193,588
  6. Step 6: Final answer
    x = 846,946.02

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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.