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Finding the Third Proportional to 332,511.75 and 515,921.06

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Solution

The third proportional to 332,511.75 and 515,921.06 is: 800,496.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,511.75 : 515,921.06 = 515,921.06 : x
  2. Step 2: Convert to fraction form
    332,511.75/515,921.06 = 515,921.06/x
  3. Step 3: Cross multiply
    332,511.75x = 515,921.06 × 515,921.06
  4. Step 4: Simplify right side
    332,511.75x = 266,174,542,731.13
  5. Step 5: Solve for x
    x = 266,174,542,731.13/332,511.75
  6. Step 6: Final answer
    x = 800,496.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.