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Finding the Third Proportional to 194,790 and 404,556

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Solution

The third proportional to 194,790 and 404,556 is: 840,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,790 : 404,556 = 404,556 : x
  2. Step 2: Convert to fraction form
    194,790/404,556 = 404,556/x
  3. Step 3: Cross multiply
    194,790x = 404,556 × 404,556
  4. Step 4: Simplify right side
    194,790x = 163,665,557,136
  5. Step 5: Solve for x
    x = 163,665,557,136/194,790
  6. Step 6: Final answer
    x = 840,215.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.