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Finding the Third Proportional to 285,150.94 and 441,375.47

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Solution

The third proportional to 285,150.94 and 441,375.47 is: 683,190.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,150.94 : 441,375.47 = 441,375.47 : x
  2. Step 2: Convert to fraction form
    285,150.94/441,375.47 = 441,375.47/x
  3. Step 3: Cross multiply
    285,150.94x = 441,375.47 × 441,375.47
  4. Step 4: Simplify right side
    285,150.94x = 194,812,304,414.28
  5. Step 5: Solve for x
    x = 194,812,304,414.28/285,150.94
  6. Step 6: Final answer
    x = 683,190.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.