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Finding the Third Proportional to 302,717.25 and 713,584.69

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Solution

The third proportional to 302,717.25 and 713,584.69 is: 1,682,107.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,717.25 : 713,584.69 = 713,584.69 : x
  2. Step 2: Convert to fraction form
    302,717.25/713,584.69 = 713,584.69/x
  3. Step 3: Cross multiply
    302,717.25x = 713,584.69 × 713,584.69
  4. Step 4: Simplify right side
    302,717.25x = 509,203,106,234.47
  5. Step 5: Solve for x
    x = 509,203,106,234.47/302,717.25
  6. Step 6: Final answer
    x = 1,682,107.99

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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.