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Finding the Third Proportional to 409,294.69 and 628,249.50

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Solution

The third proportional to 409,294.69 and 628,249.50 is: 964,335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,294.69 : 628,249.50 = 628,249.50 : x
  2. Step 2: Convert to fraction form
    409,294.69/628,249.50 = 628,249.50/x
  3. Step 3: Cross multiply
    409,294.69x = 628,249.50 × 628,249.50
  4. Step 4: Simplify right side
    409,294.69x = 394,697,434,250.25
  5. Step 5: Solve for x
    x = 394,697,434,250.25/409,294.69
  6. Step 6: Final answer
    x = 964,335.59

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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.