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Finding the Third Proportional to 406,414.50 and 603,732.75

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Solution

The third proportional to 406,414.50 and 603,732.75 is: 896,850.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,414.50 : 603,732.75 = 603,732.75 : x
  2. Step 2: Convert to fraction form
    406,414.50/603,732.75 = 603,732.75/x
  3. Step 3: Cross multiply
    406,414.50x = 603,732.75 × 603,732.75
  4. Step 4: Simplify right side
    406,414.50x = 364,493,233,422.56
  5. Step 5: Solve for x
    x = 364,493,233,422.56/406,414.50
  6. Step 6: Final answer
    x = 896,850.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.