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Finding the Third Proportional to 383,743.13 and 587,310.75

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Solution

The third proportional to 383,743.13 and 587,310.75 is: 898,866.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,743.13 : 587,310.75 = 587,310.75 : x
  2. Step 2: Convert to fraction form
    383,743.13/587,310.75 = 587,310.75/x
  3. Step 3: Cross multiply
    383,743.13x = 587,310.75 × 587,310.75
  4. Step 4: Simplify right side
    383,743.13x = 344,933,917,065.56
  5. Step 5: Solve for x
    x = 344,933,917,065.56/383,743.13
  6. Step 6: Final answer
    x = 898,866.70

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.