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Finding the Third Proportional to 336,682.13 and 726,778.13

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Solution

The third proportional to 336,682.13 and 726,778.13 is: 1,568,857.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,682.13 : 726,778.13 = 726,778.13 : x
  2. Step 2: Convert to fraction form
    336,682.13/726,778.13 = 726,778.13/x
  3. Step 3: Cross multiply
    336,682.13x = 726,778.13 × 726,778.13
  4. Step 4: Simplify right side
    336,682.13x = 528,206,442,978.52
  5. Step 5: Solve for x
    x = 528,206,442,978.52/336,682.13
  6. Step 6: Final answer
    x = 1,568,857.99

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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.