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Finding the Third Proportional to 194,423 and 404,366

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Solution

The third proportional to 194,423 and 404,366 is: 841,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,423 : 404,366 = 404,366 : x
  2. Step 2: Convert to fraction form
    194,423/404,366 = 404,366/x
  3. Step 3: Cross multiply
    194,423x = 404,366 × 404,366
  4. Step 4: Simplify right side
    194,423x = 163,511,861,956
  5. Step 5: Solve for x
    x = 163,511,861,956/194,423
  6. Step 6: Final answer
    x = 841,010.90

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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.