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Finding the Third Proportional to 237,728.25 and 486,387.75

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Solution

The third proportional to 237,728.25 and 486,387.75 is: 995,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,728.25 : 486,387.75 = 486,387.75 : x
  2. Step 2: Convert to fraction form
    237,728.25/486,387.75 = 486,387.75/x
  3. Step 3: Cross multiply
    237,728.25x = 486,387.75 × 486,387.75
  4. Step 4: Simplify right side
    237,728.25x = 236,573,043,350.06
  5. Step 5: Solve for x
    x = 236,573,043,350.06/237,728.25
  6. Step 6: Final answer
    x = 995,140.64

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.