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Finding the Third Proportional to 323,401.50 and 680,315.25

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Solution

The third proportional to 323,401.50 and 680,315.25 is: 1,431,127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,401.50 : 680,315.25 = 680,315.25 : x
  2. Step 2: Convert to fraction form
    323,401.50/680,315.25 = 680,315.25/x
  3. Step 3: Cross multiply
    323,401.50x = 680,315.25 × 680,315.25
  4. Step 4: Simplify right side
    323,401.50x = 462,828,839,382.56
  5. Step 5: Solve for x
    x = 462,828,839,382.56/323,401.50
  6. Step 6: Final answer
    x = 1,431,127.68

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.