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Finding the Third Proportional to 198,434 and 436,376

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Solution

The third proportional to 198,434 and 436,376 is: 959,634.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,434 : 436,376 = 436,376 : x
  2. Step 2: Convert to fraction form
    198,434/436,376 = 436,376/x
  3. Step 3: Cross multiply
    198,434x = 436,376 × 436,376
  4. Step 4: Simplify right side
    198,434x = 190,424,013,376
  5. Step 5: Solve for x
    x = 190,424,013,376/198,434
  6. Step 6: Final answer
    x = 959,634.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.