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Finding the Third Proportional to 493,305.19 and 737,975.81

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Solution

The third proportional to 493,305.19 and 737,975.81 is: 1,103,998.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,305.19 : 737,975.81 = 737,975.81 : x
  2. Step 2: Convert to fraction form
    493,305.19/737,975.81 = 737,975.81/x
  3. Step 3: Cross multiply
    493,305.19x = 737,975.81 × 737,975.81
  4. Step 4: Simplify right side
    493,305.19x = 544,608,299,835.04
  5. Step 5: Solve for x
    x = 544,608,299,835.04/493,305.19
  6. Step 6: Final answer
    x = 1,103,998.73

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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.