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Finding the Third Proportional to 281,738 and 664,407

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Solution

The third proportional to 281,738 and 664,407 is: 1,566,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,738 : 664,407 = 664,407 : x
  2. Step 2: Convert to fraction form
    281,738/664,407 = 664,407/x
  3. Step 3: Cross multiply
    281,738x = 664,407 × 664,407
  4. Step 4: Simplify right side
    281,738x = 441,436,661,649
  5. Step 5: Solve for x
    x = 441,436,661,649/281,738
  6. Step 6: Final answer
    x = 1,566,833.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.