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Finding the Third Proportional to 541,923 and 762,473.25

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Solution

The third proportional to 541,923 and 762,473.25 is: 1,072,782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,923 : 762,473.25 = 762,473.25 : x
  2. Step 2: Convert to fraction form
    541,923/762,473.25 = 762,473.25/x
  3. Step 3: Cross multiply
    541,923x = 762,473.25 × 762,473.25
  4. Step 4: Simplify right side
    541,923x = 581,365,456,965.56
  5. Step 5: Solve for x
    x = 581,365,456,965.56/541,923
  6. Step 6: Final answer
    x = 1,072,782.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.