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Finding the Third Proportional to 310,496 and 640,812

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Solution

The third proportional to 310,496 and 640,812 is: 1,322,529.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,496 : 640,812 = 640,812 : x
  2. Step 2: Convert to fraction form
    310,496/640,812 = 640,812/x
  3. Step 3: Cross multiply
    310,496x = 640,812 × 640,812
  4. Step 4: Simplify right side
    310,496x = 410,640,019,344
  5. Step 5: Solve for x
    x = 410,640,019,344/310,496
  6. Step 6: Final answer
    x = 1,322,529.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.