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Finding the Third Proportional to 339,762.41 and 476,274.78

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Solution

The third proportional to 339,762.41 and 476,274.78 is: 667,636.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,762.41 : 476,274.78 = 476,274.78 : x
  2. Step 2: Convert to fraction form
    339,762.41/476,274.78 = 476,274.78/x
  3. Step 3: Cross multiply
    339,762.41x = 476,274.78 × 476,274.78
  4. Step 4: Simplify right side
    339,762.41x = 226,837,665,394.27
  5. Step 5: Solve for x
    x = 226,837,665,394.27/339,762.41
  6. Step 6: Final answer
    x = 667,636.14

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