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Finding the Third Proportional to 332,869.38 and 728,014.75

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Solution

The third proportional to 332,869.38 and 728,014.75 is: 1,592,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,869.38 : 728,014.75 = 728,014.75 : x
  2. Step 2: Convert to fraction form
    332,869.38/728,014.75 = 728,014.75/x
  3. Step 3: Cross multiply
    332,869.38x = 728,014.75 × 728,014.75
  4. Step 4: Simplify right side
    332,869.38x = 530,005,476,217.56
  5. Step 5: Solve for x
    x = 530,005,476,217.56/332,869.38
  6. Step 6: Final answer
    x = 1,592,232.62

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Why These Related Problems?

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