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Finding the Third Proportional to 323,430.75 and 703,311.75

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Solution

The third proportional to 323,430.75 and 703,311.75 is: 1,529,376.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,430.75 : 703,311.75 = 703,311.75 : x
  2. Step 2: Convert to fraction form
    323,430.75/703,311.75 = 703,311.75/x
  3. Step 3: Cross multiply
    323,430.75x = 703,311.75 × 703,311.75
  4. Step 4: Simplify right side
    323,430.75x = 494,647,417,688.06
  5. Step 5: Solve for x
    x = 494,647,417,688.06/323,430.75
  6. Step 6: Final answer
    x = 1,529,376.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.