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Finding the Third Proportional to 339,673.50 and 476,088.75

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Solution

The third proportional to 339,673.50 and 476,088.75 is: 667,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,673.50 : 476,088.75 = 476,088.75 : x
  2. Step 2: Convert to fraction form
    339,673.50/476,088.75 = 476,088.75/x
  3. Step 3: Cross multiply
    339,673.50x = 476,088.75 × 476,088.75
  4. Step 4: Simplify right side
    339,673.50x = 226,660,497,876.56
  5. Step 5: Solve for x
    x = 226,660,497,876.56/339,673.50
  6. Step 6: Final answer
    x = 667,289.32

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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.