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Finding the Third Proportional to 332,640.75 and 521,214.25

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Solution

The third proportional to 332,640.75 and 521,214.25 is: 816,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,640.75 : 521,214.25 = 521,214.25 : x
  2. Step 2: Convert to fraction form
    332,640.75/521,214.25 = 521,214.25/x
  3. Step 3: Cross multiply
    332,640.75x = 521,214.25 × 521,214.25
  4. Step 4: Simplify right side
    332,640.75x = 271,664,294,403.06
  5. Step 5: Solve for x
    x = 271,664,294,403.06/332,640.75
  6. Step 6: Final answer
    x = 816,689.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.