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Finding the Third Proportional to 284,022.75 and 622,365

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Solution

The third proportional to 284,022.75 and 622,365 is: 1,363,757.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,022.75 : 622,365 = 622,365 : x
  2. Step 2: Convert to fraction form
    284,022.75/622,365 = 622,365/x
  3. Step 3: Cross multiply
    284,022.75x = 622,365 × 622,365
  4. Step 4: Simplify right side
    284,022.75x = 387,338,193,225
  5. Step 5: Solve for x
    x = 387,338,193,225/284,022.75
  6. Step 6: Final answer
    x = 1,363,757.63

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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.