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Finding the Third Proportional to 493,487.25 and 743,879.25

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Solution

The third proportional to 493,487.25 and 743,879.25 is: 1,121,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,487.25 : 743,879.25 = 743,879.25 : x
  2. Step 2: Convert to fraction form
    493,487.25/743,879.25 = 743,879.25/x
  3. Step 3: Cross multiply
    493,487.25x = 743,879.25 × 743,879.25
  4. Step 4: Simplify right side
    493,487.25x = 553,356,338,580.56
  5. Step 5: Solve for x
    x = 553,356,338,580.56/493,487.25
  6. Step 6: Final answer
    x = 1,121,318.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.