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Finding the Third Proportional to 332,432 and 727,180

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Solution

The third proportional to 332,432 and 727,180 is: 1,590,673.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,432 : 727,180 = 727,180 : x
  2. Step 2: Convert to fraction form
    332,432/727,180 = 727,180/x
  3. Step 3: Cross multiply
    332,432x = 727,180 × 727,180
  4. Step 4: Simplify right side
    332,432x = 528,790,752,400
  5. Step 5: Solve for x
    x = 528,790,752,400/332,432
  6. Step 6: Final answer
    x = 1,590,673.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.