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Finding the Third Proportional to 284,025.23 and 622,372.36

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Solution

The third proportional to 284,025.23 and 622,372.36 is: 1,363,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,025.23 : 622,372.36 = 622,372.36 : x
  2. Step 2: Convert to fraction form
    284,025.23/622,372.36 = 622,372.36/x
  3. Step 3: Cross multiply
    284,025.23x = 622,372.36 × 622,372.36
  4. Step 4: Simplify right side
    284,025.23x = 387,347,353,714.00
  5. Step 5: Solve for x
    x = 387,347,353,714.00/284,025.23
  6. Step 6: Final answer
    x = 1,363,777.96

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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.