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Finding the Third Proportional to 323,393.75 and 703,414.50

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Solution

The third proportional to 323,393.75 and 703,414.50 is: 1,529,998.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,393.75 : 703,414.50 = 703,414.50 : x
  2. Step 2: Convert to fraction form
    323,393.75/703,414.50 = 703,414.50/x
  3. Step 3: Cross multiply
    323,393.75x = 703,414.50 × 703,414.50
  4. Step 4: Simplify right side
    323,393.75x = 494,791,958,810.25
  5. Step 5: Solve for x
    x = 494,791,958,810.25/323,393.75
  6. Step 6: Final answer
    x = 1,529,998.52

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