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Finding the Third Proportional to 357,832.69 and 548,215.59

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Solution

The third proportional to 357,832.69 and 548,215.59 is: 839,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,832.69 : 548,215.59 = 548,215.59 : x
  2. Step 2: Convert to fraction form
    357,832.69/548,215.59 = 548,215.59/x
  3. Step 3: Cross multiply
    357,832.69x = 548,215.59 × 548,215.59
  4. Step 4: Simplify right side
    357,832.69x = 300,540,337,230.67
  5. Step 5: Solve for x
    x = 300,540,337,230.67/357,832.69
  6. Step 6: Final answer
    x = 839,890.67

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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.