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Finding the Third Proportional to 493,015.50 and 737,562.75

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Solution

The third proportional to 493,015.50 and 737,562.75 is: 1,103,411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,015.50 : 737,562.75 = 737,562.75 : x
  2. Step 2: Convert to fraction form
    493,015.50/737,562.75 = 737,562.75/x
  3. Step 3: Cross multiply
    493,015.50x = 737,562.75 × 737,562.75
  4. Step 4: Simplify right side
    493,015.50x = 543,998,810,187.56
  5. Step 5: Solve for x
    x = 543,998,810,187.56/493,015.50
  6. Step 6: Final answer
    x = 1,103,411.17

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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.