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Finding the Third Proportional to 284,857.50 and 622,647

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Solution

The third proportional to 284,857.50 and 622,647 is: 1,360,993.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,857.50 : 622,647 = 622,647 : x
  2. Step 2: Convert to fraction form
    284,857.50/622,647 = 622,647/x
  3. Step 3: Cross multiply
    284,857.50x = 622,647 × 622,647
  4. Step 4: Simplify right side
    284,857.50x = 387,689,286,609
  5. Step 5: Solve for x
    x = 387,689,286,609/284,857.50
  6. Step 6: Final answer
    x = 1,360,993.78

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Why These Related Problems?

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