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Finding the Third Proportional to 233,796.38 and 504,498.38

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Solution

The third proportional to 233,796.38 and 504,498.38 is: 1,088,633.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,796.38 : 504,498.38 = 504,498.38 : x
  2. Step 2: Convert to fraction form
    233,796.38/504,498.38 = 504,498.38/x
  3. Step 3: Cross multiply
    233,796.38x = 504,498.38 × 504,498.38
  4. Step 4: Simplify right side
    233,796.38x = 254,518,610,377.64
  5. Step 5: Solve for x
    x = 254,518,610,377.64/233,796.38
  6. Step 6: Final answer
    x = 1,088,633.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.