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Finding the Third Proportional to 332,638.25 and 521,210.75

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Solution

The third proportional to 332,638.25 and 521,210.75 is: 816,684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,638.25 : 521,210.75 = 521,210.75 : x
  2. Step 2: Convert to fraction form
    332,638.25/521,210.75 = 521,210.75/x
  3. Step 3: Cross multiply
    332,638.25x = 521,210.75 × 521,210.75
  4. Step 4: Simplify right side
    332,638.25x = 271,660,645,915.56
  5. Step 5: Solve for x
    x = 271,660,645,915.56/332,638.25
  6. Step 6: Final answer
    x = 816,684.93

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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.