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Finding the Third Proportional to 332,380 and 725,672

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Solution

The third proportional to 332,380 and 725,672 is: 1,584,330.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,380 : 725,672 = 725,672 : x
  2. Step 2: Convert to fraction form
    332,380/725,672 = 725,672/x
  3. Step 3: Cross multiply
    332,380x = 725,672 × 725,672
  4. Step 4: Simplify right side
    332,380x = 526,599,851,584
  5. Step 5: Solve for x
    x = 526,599,851,584/332,380
  6. Step 6: Final answer
    x = 1,584,330.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.