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Finding the Third Proportional to 275,820 and 421,752

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Solution

The third proportional to 275,820 and 421,752 is: 644,894.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,820 : 421,752 = 421,752 : x
  2. Step 2: Convert to fraction form
    275,820/421,752 = 421,752/x
  3. Step 3: Cross multiply
    275,820x = 421,752 × 421,752
  4. Step 4: Simplify right side
    275,820x = 177,874,749,504
  5. Step 5: Solve for x
    x = 177,874,749,504/275,820
  6. Step 6: Final answer
    x = 644,894.31

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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.