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Finding the Third Proportional to 510,375.94 and 753,922.69

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Solution

The third proportional to 510,375.94 and 753,922.69 is: 1,113,687.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,375.94 : 753,922.69 = 753,922.69 : x
  2. Step 2: Convert to fraction form
    510,375.94/753,922.69 = 753,922.69/x
  3. Step 3: Cross multiply
    510,375.94x = 753,922.69 × 753,922.69
  4. Step 4: Simplify right side
    510,375.94x = 568,399,418,727.22
  5. Step 5: Solve for x
    x = 568,399,418,727.22/510,375.94
  6. Step 6: Final answer
    x = 1,113,687.73

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.