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Finding the Third Proportional to 284,979 and 444,721

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Solution

The third proportional to 284,979 and 444,721 is: 694,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,979 : 444,721 = 444,721 : x
  2. Step 2: Convert to fraction form
    284,979/444,721 = 444,721/x
  3. Step 3: Cross multiply
    284,979x = 444,721 × 444,721
  4. Step 4: Simplify right side
    284,979x = 197,776,767,841
  5. Step 5: Solve for x
    x = 197,776,767,841/284,979
  6. Step 6: Final answer
    x = 694,004.71

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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.