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Finding the Third Proportional to 396,033.75 and 841,152.75

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Solution

The third proportional to 396,033.75 and 841,152.75 is: 1,786,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,033.75 : 841,152.75 = 841,152.75 : x
  2. Step 2: Convert to fraction form
    396,033.75/841,152.75 = 841,152.75/x
  3. Step 3: Cross multiply
    396,033.75x = 841,152.75 × 841,152.75
  4. Step 4: Simplify right side
    396,033.75x = 707,537,948,832.56
  5. Step 5: Solve for x
    x = 707,537,948,832.56/396,033.75
  6. Step 6: Final answer
    x = 1,786,559.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.