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Finding the Third Proportional to 339,774.75 and 476,293.50

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Solution

The third proportional to 339,774.75 and 476,293.50 is: 667,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,774.75 : 476,293.50 = 476,293.50 : x
  2. Step 2: Convert to fraction form
    339,774.75/476,293.50 = 476,293.50/x
  3. Step 3: Cross multiply
    339,774.75x = 476,293.50 × 476,293.50
  4. Step 4: Simplify right side
    339,774.75x = 226,855,498,142.25
  5. Step 5: Solve for x
    x = 226,855,498,142.25/339,774.75
  6. Step 6: Final answer
    x = 667,664.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.