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Finding the Third Proportional to 259,228.50 and 396,735

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Solution

The third proportional to 259,228.50 and 396,735 is: 607,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,228.50 : 396,735 = 396,735 : x
  2. Step 2: Convert to fraction form
    259,228.50/396,735 = 396,735/x
  3. Step 3: Cross multiply
    259,228.50x = 396,735 × 396,735
  4. Step 4: Simplify right side
    259,228.50x = 157,398,660,225
  5. Step 5: Solve for x
    x = 157,398,660,225/259,228.50
  6. Step 6: Final answer
    x = 607,181.16

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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.