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Finding the Third Proportional to 331,735.75 and 500,352.63

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Solution

The third proportional to 331,735.75 and 500,352.63 is: 754,675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,735.75 : 500,352.63 = 500,352.63 : x
  2. Step 2: Convert to fraction form
    331,735.75/500,352.63 = 500,352.63/x
  3. Step 3: Cross multiply
    331,735.75x = 500,352.63 × 500,352.63
  4. Step 4: Simplify right side
    331,735.75x = 250,352,749,344.39
  5. Step 5: Solve for x
    x = 250,352,749,344.39/331,735.75
  6. Step 6: Final answer
    x = 754,675.22

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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.