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Finding the Third Proportional to 293,754.09 and 396,343.97

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Solution

The third proportional to 293,754.09 and 396,343.97 is: 534,762.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,754.09 : 396,343.97 = 396,343.97 : x
  2. Step 2: Convert to fraction form
    293,754.09/396,343.97 = 396,343.97/x
  3. Step 3: Cross multiply
    293,754.09x = 396,343.97 × 396,343.97
  4. Step 4: Simplify right side
    293,754.09x = 157,088,541,564.50
  5. Step 5: Solve for x
    x = 157,088,541,564.50/293,754.09
  6. Step 6: Final answer
    x = 534,762.05

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.