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Finding the Third Proportional to 510,173.44 and 737,493.19

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Solution

The third proportional to 510,173.44 and 737,493.19 is: 1,066,100.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,173.44 : 737,493.19 = 737,493.19 : x
  2. Step 2: Convert to fraction form
    510,173.44/737,493.19 = 737,493.19/x
  3. Step 3: Cross multiply
    510,173.44x = 737,493.19 × 737,493.19
  4. Step 4: Simplify right side
    510,173.44x = 543,896,201,608.91
  5. Step 5: Solve for x
    x = 543,896,201,608.91/510,173.44
  6. Step 6: Final answer
    x = 1,066,100.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.