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Finding the Third Proportional to 323,382.50 and 680,283.75

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Solution

The third proportional to 323,382.50 and 680,283.75 is: 1,431,079.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,382.50 : 680,283.75 = 680,283.75 : x
  2. Step 2: Convert to fraction form
    323,382.50/680,283.75 = 680,283.75/x
  3. Step 3: Cross multiply
    323,382.50x = 680,283.75 × 680,283.75
  4. Step 4: Simplify right side
    323,382.50x = 462,785,980,514.06
  5. Step 5: Solve for x
    x = 462,785,980,514.06/323,382.50
  6. Step 6: Final answer
    x = 1,431,079.23

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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.