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Finding the Third Proportional to 323,382.75 and 680,284.13

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Solution

The third proportional to 323,382.75 and 680,284.13 is: 1,431,079.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,382.75 : 680,284.13 = 680,284.13 : x
  2. Step 2: Convert to fraction form
    323,382.75/680,284.13 = 680,284.13/x
  3. Step 3: Cross multiply
    323,382.75x = 680,284.13 × 680,284.13
  4. Step 4: Simplify right side
    323,382.75x = 462,786,490,727.02
  5. Step 5: Solve for x
    x = 462,786,490,727.02/323,382.75
  6. Step 6: Final answer
    x = 1,431,079.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.