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Finding the Third Proportional to 493,739.25 and 737,379

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Solution

The third proportional to 493,739.25 and 737,379 is: 1,101,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,739.25 : 737,379 = 737,379 : x
  2. Step 2: Convert to fraction form
    493,739.25/737,379 = 737,379/x
  3. Step 3: Cross multiply
    493,739.25x = 737,379 × 737,379
  4. Step 4: Simplify right side
    493,739.25x = 543,727,789,641
  5. Step 5: Solve for x
    x = 543,727,789,641/493,739.25
  6. Step 6: Final answer
    x = 1,101,244.82

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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.