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Finding the Third Proportional to 281,992.50 and 587,220.75

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Solution

The third proportional to 281,992.50 and 587,220.75 is: 1,222,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,992.50 : 587,220.75 = 587,220.75 : x
  2. Step 2: Convert to fraction form
    281,992.50/587,220.75 = 587,220.75/x
  3. Step 3: Cross multiply
    281,992.50x = 587,220.75 × 587,220.75
  4. Step 4: Simplify right side
    281,992.50x = 344,828,209,230.56
  5. Step 5: Solve for x
    x = 344,828,209,230.56/281,992.50
  6. Step 6: Final answer
    x = 1,222,827.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.