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Finding the Third Proportional to 284,797.69 and 622,795.50

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Solution

The third proportional to 284,797.69 and 622,795.50 is: 1,361,929.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,797.69 : 622,795.50 = 622,795.50 : x
  2. Step 2: Convert to fraction form
    284,797.69/622,795.50 = 622,795.50/x
  3. Step 3: Cross multiply
    284,797.69x = 622,795.50 × 622,795.50
  4. Step 4: Simplify right side
    284,797.69x = 387,874,234,820.25
  5. Step 5: Solve for x
    x = 387,874,234,820.25/284,797.69
  6. Step 6: Final answer
    x = 1,361,929.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.