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Finding the Third Proportional to 382,826.25 and 587,624.63

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Solution

The third proportional to 382,826.25 and 587,624.63 is: 901,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,826.25 : 587,624.63 = 587,624.63 : x
  2. Step 2: Convert to fraction form
    382,826.25/587,624.63 = 587,624.63/x
  3. Step 3: Cross multiply
    382,826.25x = 587,624.63 × 587,624.63
  4. Step 4: Simplify right side
    382,826.25x = 345,302,699,906.39
  5. Step 5: Solve for x
    x = 345,302,699,906.39/382,826.25
  6. Step 6: Final answer
    x = 901,982.82

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Why These Related Problems?

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