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Finding the Third Proportional to 275,792 and 421,707

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Solution

The third proportional to 275,792 and 421,707 is: 644,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,792 : 421,707 = 421,707 : x
  2. Step 2: Convert to fraction form
    275,792/421,707 = 421,707/x
  3. Step 3: Cross multiply
    275,792x = 421,707 × 421,707
  4. Step 4: Simplify right side
    275,792x = 177,836,793,849
  5. Step 5: Solve for x
    x = 177,836,793,849/275,792
  6. Step 6: Final answer
    x = 644,822.16

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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.