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Finding the Third Proportional to 371,638 and 815,456

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Solution

The third proportional to 371,638 and 815,456 is: 1,789,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,638 : 815,456 = 815,456 : x
  2. Step 2: Convert to fraction form
    371,638/815,456 = 815,456/x
  3. Step 3: Cross multiply
    371,638x = 815,456 × 815,456
  4. Step 4: Simplify right side
    371,638x = 664,968,487,936
  5. Step 5: Solve for x
    x = 664,968,487,936/371,638
  6. Step 6: Final answer
    x = 1,789,290.89

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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.