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Finding the Third Proportional to 303,692.25 and 471,454.88

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Solution

The third proportional to 303,692.25 and 471,454.88 is: 731,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,692.25 : 471,454.88 = 471,454.88 : x
  2. Step 2: Convert to fraction form
    303,692.25/471,454.88 = 471,454.88/x
  3. Step 3: Cross multiply
    303,692.25x = 471,454.88 × 471,454.88
  4. Step 4: Simplify right side
    303,692.25x = 222,269,699,161.27
  5. Step 5: Solve for x
    x = 222,269,699,161.27/303,692.25
  6. Step 6: Final answer
    x = 731,891.25

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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.