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Finding the Third Proportional to 479,463.05 and 744,403.92

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Solution

The third proportional to 479,463.05 and 744,403.92 is: 1,155,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,463.05 : 744,403.92 = 744,403.92 : x
  2. Step 2: Convert to fraction form
    479,463.05/744,403.92 = 744,403.92/x
  3. Step 3: Cross multiply
    479,463.05x = 744,403.92 × 744,403.92
  4. Step 4: Simplify right side
    479,463.05x = 554,137,198,902.88
  5. Step 5: Solve for x
    x = 554,137,198,902.88/479,463.05
  6. Step 6: Final answer
    x = 1,155,745.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.