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Finding the Third Proportional to 284,887.13 and 622,707.75

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Solution

The third proportional to 284,887.13 and 622,707.75 is: 1,361,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,887.13 : 622,707.75 = 622,707.75 : x
  2. Step 2: Convert to fraction form
    284,887.13/622,707.75 = 622,707.75/x
  3. Step 3: Cross multiply
    284,887.13x = 622,707.75 × 622,707.75
  4. Step 4: Simplify right side
    284,887.13x = 387,764,941,910.06
  5. Step 5: Solve for x
    x = 387,764,941,910.06/284,887.13
  6. Step 6: Final answer
    x = 1,361,117.82

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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.