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Finding the Third Proportional to 274,332 and 660,825

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Solution

The third proportional to 274,332 and 660,825 is: 1,591,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,332 : 660,825 = 660,825 : x
  2. Step 2: Convert to fraction form
    274,332/660,825 = 660,825/x
  3. Step 3: Cross multiply
    274,332x = 660,825 × 660,825
  4. Step 4: Simplify right side
    274,332x = 436,689,680,625
  5. Step 5: Solve for x
    x = 436,689,680,625/274,332
  6. Step 6: Final answer
    x = 1,591,829.17

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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.