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Finding the Third Proportional to 274,334 and 660,830

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Solution

The third proportional to 274,334 and 660,830 is: 1,591,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,334 : 660,830 = 660,830 : x
  2. Step 2: Convert to fraction form
    274,334/660,830 = 660,830/x
  3. Step 3: Cross multiply
    274,334x = 660,830 × 660,830
  4. Step 4: Simplify right side
    274,334x = 436,696,288,900
  5. Step 5: Solve for x
    x = 436,696,288,900/274,334
  6. Step 6: Final answer
    x = 1,591,841.66

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.