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Finding the Third Proportional to 289,836 and 445,554

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Solution

The third proportional to 289,836 and 445,554 is: 684,933.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,836 : 445,554 = 445,554 : x
  2. Step 2: Convert to fraction form
    289,836/445,554 = 445,554/x
  3. Step 3: Cross multiply
    289,836x = 445,554 × 445,554
  4. Step 4: Simplify right side
    289,836x = 198,518,366,916
  5. Step 5: Solve for x
    x = 198,518,366,916/289,836
  6. Step 6: Final answer
    x = 684,933.43

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.