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Finding the Third Proportional to 401,770.13 and 545,651.44

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Solution

The third proportional to 401,770.13 and 545,651.44 is: 741,059.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,770.13 : 545,651.44 = 545,651.44 : x
  2. Step 2: Convert to fraction form
    401,770.13/545,651.44 = 545,651.44/x
  3. Step 3: Cross multiply
    401,770.13x = 545,651.44 × 545,651.44
  4. Step 4: Simplify right side
    401,770.13x = 297,735,491,245.82
  5. Step 5: Solve for x
    x = 297,735,491,245.82/401,770.13
  6. Step 6: Final answer
    x = 741,059.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.