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Finding the Third Proportional to 454,782.09 and 757,908.14

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Solution

The third proportional to 454,782.09 and 757,908.14 is: 1,263,076.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,782.09 : 757,908.14 = 757,908.14 : x
  2. Step 2: Convert to fraction form
    454,782.09/757,908.14 = 757,908.14/x
  3. Step 3: Cross multiply
    454,782.09x = 757,908.14 × 757,908.14
  4. Step 4: Simplify right side
    454,782.09x = 574,424,749,625.65
  5. Step 5: Solve for x
    x = 574,424,749,625.65/454,782.09
  6. Step 6: Final answer
    x = 1,263,076.88

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.