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Finding the Third Proportional to 397,945.25 and 617,096

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Solution

The third proportional to 397,945.25 and 617,096 is: 956,934.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,945.25 : 617,096 = 617,096 : x
  2. Step 2: Convert to fraction form
    397,945.25/617,096 = 617,096/x
  3. Step 3: Cross multiply
    397,945.25x = 617,096 × 617,096
  4. Step 4: Simplify right side
    397,945.25x = 380,807,473,216
  5. Step 5: Solve for x
    x = 380,807,473,216/397,945.25
  6. Step 6: Final answer
    x = 956,934.34

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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.