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Finding the Third Proportional to 392,928.75 and 591,689.25

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Solution

The third proportional to 392,928.75 and 591,689.25 is: 890,991.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,928.75 : 591,689.25 = 591,689.25 : x
  2. Step 2: Convert to fraction form
    392,928.75/591,689.25 = 591,689.25/x
  3. Step 3: Cross multiply
    392,928.75x = 591,689.25 × 591,689.25
  4. Step 4: Simplify right side
    392,928.75x = 350,096,168,565.56
  5. Step 5: Solve for x
    x = 350,096,168,565.56/392,928.75
  6. Step 6: Final answer
    x = 890,991.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.