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Finding the Third Proportional to 284,451.75 and 603,976.50

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Solution

The third proportional to 284,451.75 and 603,976.50 is: 1,282,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,451.75 : 603,976.50 = 603,976.50 : x
  2. Step 2: Convert to fraction form
    284,451.75/603,976.50 = 603,976.50/x
  3. Step 3: Cross multiply
    284,451.75x = 603,976.50 × 603,976.50
  4. Step 4: Simplify right side
    284,451.75x = 364,787,612,552.25
  5. Step 5: Solve for x
    x = 364,787,612,552.25/284,451.75
  6. Step 6: Final answer
    x = 1,282,423.51

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.