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Finding the Third Proportional to 323,716.50 and 706,450.50

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Solution

The third proportional to 323,716.50 and 706,450.50 is: 1,541,695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,716.50 : 706,450.50 = 706,450.50 : x
  2. Step 2: Convert to fraction form
    323,716.50/706,450.50 = 706,450.50/x
  3. Step 3: Cross multiply
    323,716.50x = 706,450.50 × 706,450.50
  4. Step 4: Simplify right side
    323,716.50x = 499,072,308,950.25
  5. Step 5: Solve for x
    x = 499,072,308,950.25/323,716.50
  6. Step 6: Final answer
    x = 1,541,695.62

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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.