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Finding the Third Proportional to 339,171.75 and 498,642.75

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Solution

The third proportional to 339,171.75 and 498,642.75 is: 733,093.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,171.75 : 498,642.75 = 498,642.75 : x
  2. Step 2: Convert to fraction form
    339,171.75/498,642.75 = 498,642.75/x
  3. Step 3: Cross multiply
    339,171.75x = 498,642.75 × 498,642.75
  4. Step 4: Simplify right side
    339,171.75x = 248,644,592,127.56
  5. Step 5: Solve for x
    x = 248,644,592,127.56/339,171.75
  6. Step 6: Final answer
    x = 733,093.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.