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Finding the Third Proportional to 827,245.50 and 1,327,250.25

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Solution

The third proportional to 827,245.50 and 1,327,250.25 is: 2,129,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,245.50 : 1,327,250.25 = 1,327,250.25 : x
  2. Step 2: Convert to fraction form
    827,245.50/1,327,250.25 = 1,327,250.25/x
  3. Step 3: Cross multiply
    827,245.50x = 1,327,250.25 × 1,327,250.25
  4. Step 4: Simplify right side
    827,245.50x = 1,761,593,226,125.06
  5. Step 5: Solve for x
    x = 1,761,593,226,125.06/827,245.50
  6. Step 6: Final answer
    x = 2,129,468.49

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.