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Finding the Third Proportional to 211,326.75 and 498,354.75

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Solution

The third proportional to 211,326.75 and 498,354.75 is: 1,175,229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,326.75 : 498,354.75 = 498,354.75 : x
  2. Step 2: Convert to fraction form
    211,326.75/498,354.75 = 498,354.75/x
  3. Step 3: Cross multiply
    211,326.75x = 498,354.75 × 498,354.75
  4. Step 4: Simplify right side
    211,326.75x = 248,357,456,847.56
  5. Step 5: Solve for x
    x = 248,357,456,847.56/211,326.75
  6. Step 6: Final answer
    x = 1,175,229.62

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.