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Finding the Third Proportional to 284,979.25 and 444,722

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Solution

The third proportional to 284,979.25 and 444,722 is: 694,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,979.25 : 444,722 = 444,722 : x
  2. Step 2: Convert to fraction form
    284,979.25/444,722 = 444,722/x
  3. Step 3: Cross multiply
    284,979.25x = 444,722 × 444,722
  4. Step 4: Simplify right side
    284,979.25x = 197,777,657,284
  5. Step 5: Solve for x
    x = 197,777,657,284/284,979.25
  6. Step 6: Final answer
    x = 694,007.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.