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Finding the Third Proportional to 505,280.53 and 743,131.97

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Solution

The third proportional to 505,280.53 and 743,131.97 is: 1,092,947.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,280.53 : 743,131.97 = 743,131.97 : x
  2. Step 2: Convert to fraction form
    505,280.53/743,131.97 = 743,131.97/x
  3. Step 3: Cross multiply
    505,280.53x = 743,131.97 × 743,131.97
  4. Step 4: Simplify right side
    505,280.53x = 552,245,122,978.25
  5. Step 5: Solve for x
    x = 552,245,122,978.25/505,280.53
  6. Step 6: Final answer
    x = 1,092,947.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.