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Finding the Third Proportional to 332,864.44 and 728,005.22

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Solution

The third proportional to 332,864.44 and 728,005.22 is: 1,592,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,864.44 : 728,005.22 = 728,005.22 : x
  2. Step 2: Convert to fraction form
    332,864.44/728,005.22 = 728,005.22/x
  3. Step 3: Cross multiply
    332,864.44x = 728,005.22 × 728,005.22
  4. Step 4: Simplify right side
    332,864.44x = 529,991,598,527.24
  5. Step 5: Solve for x
    x = 529,991,598,527.24/332,864.44
  6. Step 6: Final answer
    x = 1,592,214.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.