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Finding the Third Proportional to 396,109.50 and 596,063.25

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Solution

The third proportional to 396,109.50 and 596,063.25 is: 896,952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,109.50 : 596,063.25 = 596,063.25 : x
  2. Step 2: Convert to fraction form
    396,109.50/596,063.25 = 596,063.25/x
  3. Step 3: Cross multiply
    396,109.50x = 596,063.25 × 596,063.25
  4. Step 4: Simplify right side
    396,109.50x = 355,291,398,000.56
  5. Step 5: Solve for x
    x = 355,291,398,000.56/396,109.50
  6. Step 6: Final answer
    x = 896,952.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.