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Finding the Third Proportional to 493,107.75 and 737,672.06

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Solution

The third proportional to 493,107.75 and 737,672.06 is: 1,103,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,107.75 : 737,672.06 = 737,672.06 : x
  2. Step 2: Convert to fraction form
    493,107.75/737,672.06 = 737,672.06/x
  3. Step 3: Cross multiply
    493,107.75x = 737,672.06 × 737,672.06
  4. Step 4: Simplify right side
    493,107.75x = 544,160,071,793.00
  5. Step 5: Solve for x
    x = 544,160,071,793.00/493,107.75
  6. Step 6: Final answer
    x = 1,103,531.78

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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.