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Finding the Third Proportional to 323,737 and 660,314

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Solution

The third proportional to 323,737 and 660,314 is: 1,346,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,737 : 660,314 = 660,314 : x
  2. Step 2: Convert to fraction form
    323,737/660,314 = 660,314/x
  3. Step 3: Cross multiply
    323,737x = 660,314 × 660,314
  4. Step 4: Simplify right side
    323,737x = 436,014,578,596
  5. Step 5: Solve for x
    x = 436,014,578,596/323,737
  6. Step 6: Final answer
    x = 1,346,817.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.