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Finding the Third Proportional to 281,955.50 and 610,375

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Solution

The third proportional to 281,955.50 and 610,375 is: 1,321,334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,955.50 : 610,375 = 610,375 : x
  2. Step 2: Convert to fraction form
    281,955.50/610,375 = 610,375/x
  3. Step 3: Cross multiply
    281,955.50x = 610,375 × 610,375
  4. Step 4: Simplify right side
    281,955.50x = 372,557,640,625
  5. Step 5: Solve for x
    x = 372,557,640,625/281,955.50
  6. Step 6: Final answer
    x = 1,321,334.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.