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Finding the Third Proportional to 323,812.69 and 519,969.38

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Solution

The third proportional to 323,812.69 and 519,969.38 is: 834,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,812.69 : 519,969.38 = 519,969.38 : x
  2. Step 2: Convert to fraction form
    323,812.69/519,969.38 = 519,969.38/x
  3. Step 3: Cross multiply
    323,812.69x = 519,969.38 × 519,969.38
  4. Step 4: Simplify right side
    323,812.69x = 270,368,150,937.89
  5. Step 5: Solve for x
    x = 270,368,150,937.89/323,812.69
  6. Step 6: Final answer
    x = 834,952.31

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.