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Finding the Third Proportional to 317,919 and 445,594.50

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Solution

The third proportional to 317,919 and 445,594.50 is: 624,544.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,919 : 445,594.50 = 445,594.50 : x
  2. Step 2: Convert to fraction form
    317,919/445,594.50 = 445,594.50/x
  3. Step 3: Cross multiply
    317,919x = 445,594.50 × 445,594.50
  4. Step 4: Simplify right side
    317,919x = 198,554,458,430.25
  5. Step 5: Solve for x
    x = 198,554,458,430.25/317,919
  6. Step 6: Final answer
    x = 624,544.17

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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.