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Finding the Third Proportional to 284,795 and 441,550.50

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Solution

The third proportional to 284,795 and 441,550.50 is: 684,586.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,795 : 441,550.50 = 441,550.50 : x
  2. Step 2: Convert to fraction form
    284,795/441,550.50 = 441,550.50/x
  3. Step 3: Cross multiply
    284,795x = 441,550.50 × 441,550.50
  4. Step 4: Simplify right side
    284,795x = 194,966,844,050.25
  5. Step 5: Solve for x
    x = 194,966,844,050.25/284,795
  6. Step 6: Final answer
    x = 684,586.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.