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Finding the Third Proportional to 263,800.13 and 408,732.75

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Solution

The third proportional to 263,800.13 and 408,732.75 is: 633,291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,800.13 : 408,732.75 = 408,732.75 : x
  2. Step 2: Convert to fraction form
    263,800.13/408,732.75 = 408,732.75/x
  3. Step 3: Cross multiply
    263,800.13x = 408,732.75 × 408,732.75
  4. Step 4: Simplify right side
    263,800.13x = 167,062,460,922.56
  5. Step 5: Solve for x
    x = 167,062,460,922.56/263,800.13
  6. Step 6: Final answer
    x = 633,291.82

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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.