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Finding the Third Proportional to 329,305.50 and 684,450

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Solution

The third proportional to 329,305.50 and 684,450 is: 1,422,605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,305.50 : 684,450 = 684,450 : x
  2. Step 2: Convert to fraction form
    329,305.50/684,450 = 684,450/x
  3. Step 3: Cross multiply
    329,305.50x = 684,450 × 684,450
  4. Step 4: Simplify right side
    329,305.50x = 468,471,802,500
  5. Step 5: Solve for x
    x = 468,471,802,500/329,305.50
  6. Step 6: Final answer
    x = 1,422,605.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.