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Finding the Third Proportional to 284,978.25 and 444,720.38

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Solution

The third proportional to 284,978.25 and 444,720.38 is: 694,004.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,978.25 : 444,720.38 = 444,720.38 : x
  2. Step 2: Convert to fraction form
    284,978.25/444,720.38 = 444,720.38/x
  3. Step 3: Cross multiply
    284,978.25x = 444,720.38 × 444,720.38
  4. Step 4: Simplify right side
    284,978.25x = 197,776,211,940.14
  5. Step 5: Solve for x
    x = 197,776,211,940.14/284,978.25
  6. Step 6: Final answer
    x = 694,004.58

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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.