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Finding the Third Proportional to 275,508 and 421,418

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Solution

The third proportional to 275,508 and 421,418 is: 644,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,508 : 421,418 = 421,418 : x
  2. Step 2: Convert to fraction form
    275,508/421,418 = 421,418/x
  3. Step 3: Cross multiply
    275,508x = 421,418 × 421,418
  4. Step 4: Simplify right side
    275,508x = 177,593,130,724
  5. Step 5: Solve for x
    x = 177,593,130,724/275,508
  6. Step 6: Final answer
    x = 644,602.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.