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Finding the Third Proportional to 263,260.13 and 397,213.88

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Solution

The third proportional to 263,260.13 and 397,213.88 is: 599,326.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,260.13 : 397,213.88 = 397,213.88 : x
  2. Step 2: Convert to fraction form
    263,260.13/397,213.88 = 397,213.88/x
  3. Step 3: Cross multiply
    263,260.13x = 397,213.88 × 397,213.88
  4. Step 4: Simplify right side
    263,260.13x = 157,778,862,492.52
  5. Step 5: Solve for x
    x = 157,778,862,492.52/263,260.13
  6. Step 6: Final answer
    x = 599,326.85

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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.