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Finding the Third Proportional to 312,880 and 640,340

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Solution

The third proportional to 312,880 and 640,340 is: 1,310,519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,880 : 640,340 = 640,340 : x
  2. Step 2: Convert to fraction form
    312,880/640,340 = 640,340/x
  3. Step 3: Cross multiply
    312,880x = 640,340 × 640,340
  4. Step 4: Simplify right side
    312,880x = 410,035,315,600
  5. Step 5: Solve for x
    x = 410,035,315,600/312,880
  6. Step 6: Final answer
    x = 1,310,519.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.