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Finding the Third Proportional to 284,803.50 and 622,806

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Solution

The third proportional to 284,803.50 and 622,806 is: 1,361,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,803.50 : 622,806 = 622,806 : x
  2. Step 2: Convert to fraction form
    284,803.50/622,806 = 622,806/x
  3. Step 3: Cross multiply
    284,803.50x = 622,806 × 622,806
  4. Step 4: Simplify right side
    284,803.50x = 387,887,313,636
  5. Step 5: Solve for x
    x = 387,887,313,636/284,803.50
  6. Step 6: Final answer
    x = 1,361,947.14

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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.