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Finding the Third Proportional to 317,902.50 and 445,605.75

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Solution

The third proportional to 317,902.50 and 445,605.75 is: 624,608.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,902.50 : 445,605.75 = 445,605.75 : x
  2. Step 2: Convert to fraction form
    317,902.50/445,605.75 = 445,605.75/x
  3. Step 3: Cross multiply
    317,902.50x = 445,605.75 × 445,605.75
  4. Step 4: Simplify right side
    317,902.50x = 198,564,484,433.06
  5. Step 5: Solve for x
    x = 198,564,484,433.06/317,902.50
  6. Step 6: Final answer
    x = 624,608.12

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.