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Finding the Third Proportional to 304,318.50 and 445,209.75

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Solution

The third proportional to 304,318.50 and 445,209.75 is: 651,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,318.50 : 445,209.75 = 445,209.75 : x
  2. Step 2: Convert to fraction form
    304,318.50/445,209.75 = 445,209.75/x
  3. Step 3: Cross multiply
    304,318.50x = 445,209.75 × 445,209.75
  4. Step 4: Simplify right side
    304,318.50x = 198,211,721,495.06
  5. Step 5: Solve for x
    x = 198,211,721,495.06/304,318.50
  6. Step 6: Final answer
    x = 651,329.85

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.