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Finding the Third Proportional to 281,980 and 436,907

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Solution

The third proportional to 281,980 and 436,907 is: 676,954.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,980 : 436,907 = 436,907 : x
  2. Step 2: Convert to fraction form
    281,980/436,907 = 436,907/x
  3. Step 3: Cross multiply
    281,980x = 436,907 × 436,907
  4. Step 4: Simplify right side
    281,980x = 190,887,726,649
  5. Step 5: Solve for x
    x = 190,887,726,649/281,980
  6. Step 6: Final answer
    x = 676,954.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.