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Finding the Third Proportional to 340,382.25 and 743,085

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Solution

The third proportional to 340,382.25 and 743,085 is: 1,622,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,382.25 : 743,085 = 743,085 : x
  2. Step 2: Convert to fraction form
    340,382.25/743,085 = 743,085/x
  3. Step 3: Cross multiply
    340,382.25x = 743,085 × 743,085
  4. Step 4: Simplify right side
    340,382.25x = 552,175,317,225
  5. Step 5: Solve for x
    x = 552,175,317,225/340,382.25
  6. Step 6: Final answer
    x = 1,622,221.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.