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Finding the Third Proportional to 281,936 and 412,320

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Solution

The third proportional to 281,936 and 412,320 is: 603,001.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,936 : 412,320 = 412,320 : x
  2. Step 2: Convert to fraction form
    281,936/412,320 = 412,320/x
  3. Step 3: Cross multiply
    281,936x = 412,320 × 412,320
  4. Step 4: Simplify right side
    281,936x = 170,007,782,400
  5. Step 5: Solve for x
    x = 170,007,782,400/281,936
  6. Step 6: Final answer
    x = 603,001.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.