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Finding the Third Proportional to 664,692.75 and 1,031,180.63

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Solution

The third proportional to 664,692.75 and 1,031,180.63 is: 1,599,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,692.75 : 1,031,180.63 = 1,031,180.63 : x
  2. Step 2: Convert to fraction form
    664,692.75/1,031,180.63 = 1,031,180.63/x
  3. Step 3: Cross multiply
    664,692.75x = 1,031,180.63 × 1,031,180.63
  4. Step 4: Simplify right side
    664,692.75x = 1,063,333,481,375.39
  5. Step 5: Solve for x
    x = 1,063,333,481,375.39/664,692.75
  6. Step 6: Final answer
    x = 1,599,736.84

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