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Finding the Third Proportional to 310,204 and 683,256

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Solution

The third proportional to 310,204 and 683,256 is: 1,504,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,204 : 683,256 = 683,256 : x
  2. Step 2: Convert to fraction form
    310,204/683,256 = 683,256/x
  3. Step 3: Cross multiply
    310,204x = 683,256 × 683,256
  4. Step 4: Simplify right side
    310,204x = 466,838,761,536
  5. Step 5: Solve for x
    x = 466,838,761,536/310,204
  6. Step 6: Final answer
    x = 1,504,941.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.