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Finding the Third Proportional to 340,287.75 and 733,608.56

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Solution

The third proportional to 340,287.75 and 733,608.56 is: 1,581,548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,287.75 : 733,608.56 = 733,608.56 : x
  2. Step 2: Convert to fraction form
    340,287.75/733,608.56 = 733,608.56/x
  3. Step 3: Cross multiply
    340,287.75x = 733,608.56 × 733,608.56
  4. Step 4: Simplify right side
    340,287.75x = 538,181,522,973.32
  5. Step 5: Solve for x
    x = 538,181,522,973.32/340,287.75
  6. Step 6: Final answer
    x = 1,581,548.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.