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Finding the Third Proportional to 284,986.50 and 444,732.75

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Solution

The third proportional to 284,986.50 and 444,732.75 is: 694,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,986.50 : 444,732.75 = 444,732.75 : x
  2. Step 2: Convert to fraction form
    284,986.50/444,732.75 = 444,732.75/x
  3. Step 3: Cross multiply
    284,986.50x = 444,732.75 × 444,732.75
  4. Step 4: Simplify right side
    284,986.50x = 197,787,218,922.56
  5. Step 5: Solve for x
    x = 197,787,218,922.56/284,986.50
  6. Step 6: Final answer
    x = 694,023.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.