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Finding the Third Proportional to 291,066.75 and 441,519.19

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Solution

The third proportional to 291,066.75 and 441,519.19 is: 669,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,066.75 : 441,519.19 = 441,519.19 : x
  2. Step 2: Convert to fraction form
    291,066.75/441,519.19 = 441,519.19/x
  3. Step 3: Cross multiply
    291,066.75x = 441,519.19 × 441,519.19
  4. Step 4: Simplify right side
    291,066.75x = 194,939,192,930.66
  5. Step 5: Solve for x
    x = 194,939,192,930.66/291,066.75
  6. Step 6: Final answer
    x = 669,740.51

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.